10112100121101 has 24 divisors (see below), whose sum is σ = 15220476235552. Its totient is φ = 5962909154400.

The previous prime is 10112100121099. The next prime is 10112100121103.

10112100121101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10112100121099) and next prime (10112100121103).

It is not a de Polignac number, because 10112100121101 - 2¹ = 10112100121099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112100121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376432855 + ... + 376459716.

Almost surely, 2^{10112100121101} is an apocalyptic number.

10112100121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112100121101 is a deficient number, since it is larger than the sum of its proper divisors (5108376114451).

10112100121101 is a wasteful number, since it uses less digits than its factorization.

10112100121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752892633 (or 752892622 counting only the distinct ones).

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

It can be divided in two parts, 10112100 and 121101, that added together give a palindrome (10233201).

The spelling of 10112100121101 in words is "ten trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred one".