10112022021101 has 36 divisors (see below), whose sum is σ = 13895357739264. Its totient is φ = 7273382407200.

The previous prime is 10112022021091. The next prime is 10112022021121.

10112022021101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10112022021101 - 2³⁸ = 9837144114157 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 (10112022021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55413965 + ... + 55596146.

It is an arithmetic number, because the mean of its divisors is an integer number (385982159424).

Almost surely, 2^{10112022021101} is an apocalyptic number.

10112022021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112022021101 is a deficient number, since it is larger than the sum of its proper divisors (3783335718163).

10112022021101 is a wasteful number, since it uses less digits than its factorization.

10112022021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111010162 (or 111010142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1011202 and 2021101, that added together give a palindrome (3032303).

The spelling of 10112022021101 in words is "ten trillion, one hundred twelve billion, twenty-two million, twenty-one thousand, one hundred one".