10112021101 has 64 divisors (see below), whose sum is σ = 13066131456. Its totient is φ = 7614259200.

The previous prime is 10112021089. The next prime is 10112021119.

10112021101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10112021101 - 2⁵ = 10112021069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112021501) 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, 37313596 + ... + 37313866.

It is an arithmetic number, because the mean of its divisors is an integer number (204158304).

Almost surely, 2^10112021101 is an apocalyptic number.

It is an amenable number.

10112021101 is a deficient number, since it is larger than the sum of its proper divisors (2954110355).

10112021101 is a wasteful number, since it uses less digits than its factorization.

10112021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542.

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

It can be divided in two parts, 101120 and 21101, that added together give a palindrome (122221).

The spelling of 10112021101 in words is "ten billion, one hundred twelve million, twenty-one thousand, one hundred one".