10101223988352 has 320 divisors, whose sum is σ = 36163708891200. Its totient is φ = 2734165518336.

The previous prime is 10101223988351. The next prime is 10101223988399. The reversal of 10101223988352 is 25388932210101.

10101223988352 is a `hidden beast` number, since 1 + 0 + 10 + 122 + 398 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10101223988298 and 10101223988307.

It is not an unprimeable number, because it can be changed into a prime (10101223988351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2283723 + ... + 5041610.

It is an arithmetic number, because the mean of its divisors is an integer number (113011590285).

Almost surely, 2^{10101223988352} is an apocalyptic number.

10101223988352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101223988352 is an abundant number, since it is smaller than the sum of its proper divisors (26062484902848).

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

10101223988352 is an equidigital number, since it uses as much as digits as its factorization.

10101223988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325385 (or 7325364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10101223988352 in words is "ten trillion, one hundred one billion, two hundred twenty-three million, nine hundred eighty-eight thousand, three hundred fifty-two".