101012415042400 has 144 divisors (see below), whose sum is σ = 270105764624640. Its totient is φ = 36716885811200.

The previous prime is 101012415042391. The next prime is 101012415042433. The reversal of 101012415042400 is 4240514210101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 127663936 + ... + 128452735.

It is an arithmetic number, because the mean of its divisors is an integer number (1875734476560).

Almost surely, 2^{101012415042400} is an apocalyptic number.

101012415042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012415042400 is an abundant number, since it is smaller than the sum of its proper divisors (169093349582240).

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

101012415042400 is a wasteful number, since it uses less digits than its factorization.

101012415042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256116737 (or 256116724 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 101012415042400 its reverse (4240514210101), we get a palindrome (105252929252501).

The spelling of 101012415042400 in words is "one hundred one trillion, twelve billion, four hundred fifteen million, forty-two thousand, four hundred".