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122110201020102 = 2337103109719312521
BaseRepresentation
bin11011110000111011111111…
…001001111011111011000110
3121000100121202212021202000120
4123300323333021323323012
5112001123142430120402
61111412352452122410
734502112420666141
oct3360737711737306
9530317685252016
10122110201020102
11359a9711084519
1211841937306406
135319c33a11639
1422222456ad058
15e1b5771d73bc
hex6f0eff27bec6

122110201020102 has 128 divisors (see below), whose sum is σ = 253718845406208. Its totient is φ = 39147233126400.

The previous prime is 122110201020083. The next prime is 122110201020109. The reversal of 122110201020102 is 201020102011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110201020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48437206602 + ... + 48437209122.

It is an arithmetic number, because the mean of its divisors is an integer number (1982178479736).

Almost surely, 2122110201020102 is an apocalyptic number.

122110201020102 is an abundant number, since it is smaller than the sum of its proper divisors (131608644386106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122110201020102 is a wasteful number, since it uses less digits than its factorization.

122110201020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122110201020102 its reverse (201020102011221), we get a palindrome (323130303031323).

The spelling of 122110201020102 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred one million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 37 74 103 111 206 222 309 618 1097 1931 2194 2521 3291 3811 3862 5042 5793 6582 7563 7622 11433 11586 15126 22866 40589 71447 81178 93277 112991 121767 142894 186554 198893 214341 225982 243534 259663 279831 338973 397786 428682 519326 559662 596679 677946 778989 1193358 1557978 2118307 2765537 4180667 4236614 4868051 5531074 6354921 7359041 8296611 8361334 9607531 9736102 12542001 12709842 14604153 14718082 16593222 19215062 22077123 25084002 28822593 29208306 44154246 57645186 78377359 102324869 156754718 180117887 204649738 218185621 235132077 284850311 306974607 360235774 436371242 470264154 501409253 540353661 569700622 613949214 654556863 854550933 1002818506 1080707322 1309113726 1504227759 1709101866 3008455518 5340251947 8072867977 10539461507 10680503894 16020755841 16145735954 18552142361 21078923014 24218603931 31618384521 32041511682 37104284722 48437207862 55656427083 63236769042 111312854166 197589322039 395178644078 550045950541 592767966117 1100091901082 1185535932234 1650137851623 3300275703246 20351700170017 40703400340034 61055100510051 122110201020102