101012534212400 has 120 divisors (see below), whose sum is σ = 257913300394080. Its totient is φ = 37886878535680.

The previous prime is 101012534212393. The next prime is 101012534212427. The reversal of 101012534212400 is 4212435210101.

It is a happy number.

It is a super-2 number, since 2×101012534212400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012534212400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25781924 + ... + 29440323.

It is an arithmetic number, because the mean of its divisors is an integer number (2149277503284).

Almost surely, 2^{101012534212400} is an apocalyptic number.

101012534212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012534212400 is an abundant number, since it is smaller than the sum of its proper divisors (156900766181680).

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

101012534212400 is a wasteful number, since it uses less digits than its factorization.

101012534212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55222551 (or 55222540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 101012534212400 its reverse (4212435210101), we get a palindrome (105224969422501).

The spelling of 101012534212400 in words is "one hundred one trillion, twelve billion, five hundred thirty-four million, two hundred twelve thousand, four hundred".