10220101131312 has 60 divisors (see below), whose sum is σ = 28885277619744. Its totient is φ = 3372970665600.

The previous prime is 10220101131311. The next prime is 10220101131319. The reversal of 10220101131312 is 21313110102201.

10220101131312 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 0 + 1 + 131 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10220101131311) 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 11 ways as a sum of consecutive naturals, for example, 351336568 + ... + 351365655.

Almost surely, 2^{10220101131312} is an apocalyptic number.

10220101131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220101131312 is an abundant number, since it is smaller than the sum of its proper divisors (18665176488432).

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

10220101131312 is a wasteful number, since it uses less digits than its factorization.

10220101131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702702338 (or 702702329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10220101131312 its reverse (21313110102201), we get a palindrome (31533211233513).

The spelling of 10220101131312 in words is "ten trillion, two hundred twenty billion, one hundred one million, one hundred thirty-one thousand, three hundred twelve".