10112011021101 has 32 divisors (see below), whose sum is σ = 14901770797056. Its totient is φ = 6048302120000.

The previous prime is 10112011021039. The next prime is 10112011021153.

10112011021101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10112011021101 - 2³¹ = 10109863537453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112011011101) 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, 3841101 + ... + 5914226.

It is an arithmetic number, because the mean of its divisors is an integer number (465680337408).

Almost surely, 2^{10112011021101} is an apocalyptic number.

10112011021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112011021101 is a deficient number, since it is larger than the sum of its proper divisors (4789759775955).

10112011021101 is a wasteful number, since it uses less digits than its factorization.

10112011021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755753.

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

It can be divided in two parts, 1011201 and 1021101, that multiplied together give a palindrome (1032538352301).

The spelling of 10112011021101 in words is "ten trillion, one hundred twelve billion, eleven million, twenty-one thousand, one hundred one".