2222101012131 has 288 divisors, whose sum is σ = 4829663854080. Its totient is φ = 950065459200.

The previous prime is 2222101012069. The next prime is 2222101012139. The reversal of 2222101012131 is 1312101012222.

2222101012131 is a `hidden beast` number, since 222 + 210 + 101 + 2 + 131 = 666.

2222101012131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2222101012131 - 2⁹ = 2222101011619 is a prime.

It is a super-2 number, since 2×2222101012131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2222101012139) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37799421 + ... + 37858161.

It is an arithmetic number, because the mean of its divisors is an integer number (16769666160).

Almost surely, 2^{2222101012131} is an apocalyptic number.

2222101012131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2222101012131 is an abundant number, since it is smaller than the sum of its proper divisors (2607562841949).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2222101012131 is a wasteful number, since it uses less digits than its factorization.

2222101012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58827 (or 58811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2222101012131 its reverse (1312101012222), we get a palindrome (3534202024353).

Subtracting from 2222101012131 its reverse (1312101012222), we obtain a palindrome (909999999909).

The spelling of 2222101012131 in words is "two trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, one hundred thirty-one".