10122212132131 has 16 divisors (see below), whose sum is σ = 11070048739968. Its totient is φ = 9178994088000.

The previous prime is 10122212132099. The next prime is 10122212132177. The reversal of 10122212132131 is 13123121222101.

It is a happy number.

It is not a de Polignac number, because 10122212132131 - 2⁵ = 10122212132099 is a prime.

It is a super-2 number, since 2×10122212132131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122212132231) 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, 15787156 + ... + 16415806.

It is an arithmetic number, because the mean of its divisors is an integer number (691878046248).

Almost surely, 2^{10122212132131} is an apocalyptic number.

10122212132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122212132131 is a deficient number, since it is larger than the sum of its proper divisors (947836607837).

10122212132131 is a wasteful number, since it uses less digits than its factorization.

10122212132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632322.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10122212132131 its reverse (13123121222101), we get a palindrome (23245333354232).

The spelling of 10122212132131 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred thirty-one".