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121210020000100 = 225212712829743947
BaseRepresentation
bin11011100011110101101000…
…001011110111000101100100
3120220011120020200212220000201
4123203311220023313011210
5111341401110110000400
61105443040420520244
734350064201401403
oct3343655013670544
9526146220786021
10121210020000100
1135691976395719
1211717392550084
1352830958b5305
1421d084c24563a
15e02e3dd5006a
hex6e3d682f7164

121210020000100 has 72 divisors (see below), whose sum is σ = 265117832483840. Its totient is φ = 48098430011520.

The previous prime is 121210020000079. The next prime is 121210020000101. The reversal of 121210020000100 is 1000020012121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121210020000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162556327 + ... + 163300273.

Almost surely, 2121210020000100 is an apocalyptic number.

121210020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210020000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132558916241920).

121210020000100 is an abundant number, since it is smaller than the sum of its proper divisors (143907812483740).

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

121210020000100 is a wasteful number, since it uses less digits than its factorization.

121210020000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756917 (or 756910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121210020000100 its reverse (1000020012121), we get a palindrome (122210040012221).

The spelling of 121210020000100 in words is "one hundred twenty-one trillion, two hundred ten billion, twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 12829 25658 51316 64145 128290 256580 320725 641450 743947 1282900 1487894 1629283 2975788 3258566 3719735 6517132 7439470 8146415 14878940 16292830 18598675 32585660 37197350 40732075 74394700 81464150 94481269 162928300 188962538 377925076 472406345 944812690 1889625380 2362031725 4724063450 9448126900 9544096063 19088192126 38176384252 47720480315 95440960630 190881921260 238602401575 477204803150 954409606300 1212100200001 2424200400002 4848400800004 6060501000005 12121002000010 24242004000020 30302505000025 60605010000050 121210020000100