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2121001002100 = 225243661746227
BaseRepresentation
bin11110110111010101100…
…000101110010001110100
321111202200012120122012101
4132313111200232101310
5234222302224031400
64302212512231444
7306144245023651
oct36672540562164
97452605518171
102121001002100
11748569853672
122a3092b3b584
13125017c49a76
147492ab24c28
153a28acb156a
hex1edd582e474

2121001002100 has 72 divisors (see below), whose sum is σ = 4716740032928. Its totient is φ = 827415388800.

The previous prime is 2121001002097. The next prime is 2121001002251. The reversal of 2121001002100 is 12001001212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2469187 + ... + 3215413.

Almost surely, 22121001002100 is an apocalyptic number.

2121001002100 is a gapful number since it is divisible by the number (20) 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 2121001002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358370016464).

2121001002100 is an abundant number, since it is smaller than the sum of its proper divisors (2595739030828).

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

2121001002100 is a wasteful number, since it uses less digits than its factorization.

2121001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746945 (or 746938 counting only the distinct ones).

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

Adding to 2121001002100 its reverse (12001001212), we get a palindrome (2133002003312).

The spelling of 2121001002100 in words is "two trillion, one hundred twenty-one billion, one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 661 860 1075 1322 2150 2644 3305 4300 6610 13220 16525 28423 33050 56846 66100 113692 142115 284230 568460 710575 746227 1421150 1492454 2842300 2984908 3731135 7462270 14924540 18655675 32087761 37311350 64175522 74622700 128351044 160438805 320877610 493256047 641755220 802194025 986512094 1604388050 1973024188 2466280235 3208776100 4932560470 9865120940 12331401175 21210010021 24662802350 42420020042 49325604700 84840040084 106050050105 212100100210 424200200420 530250250525 1060500501050 2121001002100