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122010021022100 = 225223107495774161
BaseRepresentation
bin11011101111011110101011…
…111101100100100110010100
3121000000001012010221112221012
4123233132223331210212110
5111443003010340201400
61111254344015111352
734461635030031131
oct3357365375444624
9530001163845835
10122010021022100
1135970183088242
1211826439212558
135310659b2bc03
14221b460795588
15e18b62294d35
hex6ef7abf64994

122010021022100 has 72 divisors (see below), whose sum is σ = 278855118255168. Its totient is φ = 46245813644800.

The previous prime is 122010021022039. The next prime is 122010021022139. The reversal of 122010021022100 is 1220120010221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247640981 + ... + 248133180.

It is an arithmetic number, because the mean of its divisors is an integer number (3872987753544).

Almost surely, 2122010021022100 is an apocalyptic number.

122010021022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010021022100 is an abundant number, since it is smaller than the sum of its proper divisors (156845097233068).

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

122010021022100 is a wasteful number, since it uses less digits than its factorization.

122010021022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495774305 (or 495774298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122010021022100 its reverse (1220120010221), we get a palindrome (123230141032321).

The spelling of 122010021022100 in words is "one hundred twenty-two trillion, ten billion, twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 107 115 214 230 428 460 535 575 1070 1150 2140 2300 2461 2675 4922 5350 9844 10700 12305 24610 49220 61525 123050 246100 495774161 991548322 1983096644 2478870805 4957741610 9915483220 11402805703 12394354025 22805611406 24788708050 45611222812 49577416100 53047835227 57014028515 106095670454 114028057030 212191340908 228056114060 265239176135 285070142575 530478352270 570140285150 1060956704540 1140280570300 1220100210221 1326195880675 2440200420442 2652391761350 4880400840884 5304783522700 6100501051105 12201002102210 24402004204420 30502505255525 61005010511050 122010021022100