10112110102101 has 32 divisors (see below), whose sum is σ = 15610584261888. Its totient is φ = 5703089126400.

The previous prime is 10112110102069. The next prime is 10112110102121. The reversal of 10112110102101 is 10120101121101.

It is not a de Polignac number, because 10112110102101 - 2⁵ = 10112110102069 is a prime.

It is a super-2 number, since 2×10112110102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112110102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6847540 + ... + 8192253.

It is an arithmetic number, because the mean of its divisors is an integer number (487830758184).

Almost surely, 2^{10112110102101} is an apocalyptic number.

It is an amenable number.

10112110102101 is a deficient number, since it is larger than the sum of its proper divisors (5498474159787).

10112110102101 is a wasteful number, since it uses less digits than its factorization.

10112110102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040221.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10112110102101 its reverse (10120101121101), we get a palindrome (20232211223202).

The spelling of 10112110102101 in words is "ten trillion, one hundred twelve billion, one hundred ten million, one hundred two thousand, one hundred one".