10100112001021 has 64 divisors (see below), whose sum is σ = 12397409925120. Its totient is φ = 8036761593600.

The previous prime is 10100112001003. The next prime is 10100112001033. The reversal of 10100112001021 is 12010021100101.

It is a cyclic number.

It is not a de Polignac number, because 10100112001021 - 2¹⁵ = 10100111968253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100112000989 and 10100112001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112001621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844092935 + ... + 1844098411.

It is an arithmetic number, because the mean of its divisors is an integer number (193709530080).

Almost surely, 2^{10100112001021} is an apocalyptic number.

It is an amenable number.

10100112001021 is a deficient number, since it is larger than the sum of its proper divisors (2297297924099).

10100112001021 is a wasteful number, since it uses less digits than its factorization.

10100112001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100112001021 its reverse (12010021100101), we get a palindrome (22110133101122).

The spelling of 10100112001021 in words is "ten trillion, one hundred billion, one hundred twelve million, one thousand, twenty-one".