10112000021101 has 16 divisors (see below), whose sum is σ = 11680321557888. Its totient is φ = 8651867212800.

The previous prime is 10112000021087. The next prime is 10112000021117.

10112000021101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10112000021101 - 2⁵ = 10112000021069 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 (10112000021401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16347016 + ... + 16954318.

It is an arithmetic number, because the mean of its divisors is an integer number (730020097368).

Almost surely, 2^{10112000021101} is an apocalyptic number.

10112000021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112000021101 is a deficient number, since it is larger than the sum of its proper divisors (1568321536787).

10112000021101 is a wasteful number, since it uses less digits than its factorization.

10112000021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696372.

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

It can be divided in two parts, 101120000 and 21101, that added together give a palindrome (101141101).

The spelling of 10112000021101 in words is "ten trillion, one hundred twelve billion, twenty-one thousand, one hundred one".