10002012102101 has 4 divisors (see below), whose sum is σ = 10234617034752. Its totient is φ = 9769407169452.

The previous prime is 10002012102083. The next prime is 10002012102113. The reversal of 10002012102101 is 10120121020001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002012102101 is a prime.

It is a super-2 number, since 2×10002012102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012102701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116302466261 + ... + 116302466346.

It is an arithmetic number, because the mean of its divisors is an integer number (2558654258688).

Almost surely, 2^{10002012102101} is an apocalyptic number.

It is an amenable number.

10002012102101 is a deficient number, since it is larger than the sum of its proper divisors (232604932651).

10002012102101 is an equidigital number, since it uses as much as digits as its factorization.

10002012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232604932650.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002012102101 its reverse (10120121020001), we get a palindrome (20122133122102).

The spelling of 10002012102101 in words is "ten trillion, two billion, twelve million, one hundred two thousand, one hundred one".