10022113101 has 96 divisors (see below), whose sum is σ = 18662662144. Its totient is φ = 4650307200.

The previous prime is 10022113091. The next prime is 10022113109. The reversal of 10022113101 is 10131122001.

It is not a de Polignac number, because 10022113101 - 2¹³ = 10022104909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019130 + ... + 1028916.

Almost surely, 2^10022113101 is an apocalyptic number.

10022113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022113101 is a deficient number, since it is larger than the sum of its proper divisors (8640549043).

10022113101 is a wasteful number, since it uses less digits than its factorization.

10022113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9852 counting only the distinct ones).

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

Adding to 10022113101 its reverse (10131122001), we get a palindrome (20153235102).

The spelling of 10022113101 in words is "ten billion, twenty-two million, one hundred thirteen thousand, one hundred one".