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10021021200102 = 23114121411729687
BaseRepresentation
bin1001000111010011001101…
…1010001010111011100110
31022111000000012022212021010
42101310303122022323212
52303141022411400402
633151332114203050
72052665150530053
oct221646332127346
938430005285233
1010021021200102
113213989246870
12115a183883486
13578c94283a73
1426903ccc002a
15125a0a67ba6c
hex91d3368aee6

10021021200102 has 64 divisors (see below), whose sum is σ = 22407789777408. Its totient is φ = 2961222432000.

The previous prime is 10021021200077. The next prime is 10021021200131. The reversal of 10021021200102 is 20100212012001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928703 + ... + 6658389.

It is an arithmetic number, because the mean of its divisors is an integer number (350121715272).

Almost surely, 210021021200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021021200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203894888704).

10021021200102 is an abundant number, since it is smaller than the sum of its proper divisors (12386768577306).

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

10021021200102 is a wasteful number, since it uses less digits than its factorization.

10021021200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731885.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021021200102 its reverse (20100212012001), we get a palindrome (30121233212103).

It can be divided in two parts, 100210 and 21200102, that added together give a palindrome (21300312).

The spelling of 10021021200102 in words is "ten trillion, twenty-one billion, twenty-one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2141 2706 4282 6423 12846 23551 47102 70653 87781 141306 175562 263343 526686 965591 1729687 1931182 2896773 3459374 5189061 5793546 10378122 19026557 38053114 57079671 70917167 114159342 141834334 212751501 425503002 780088837 1560177674 2340266511 3703259867 4680533022 7406519734 11109779601 22219559202 40735858537 81471717074 122207575611 151833654547 244415151222 303667309094 455500963641 911001927282 1670170200017 3340340400034 5010510600051 10021021200102