101110772540400 has 240 divisors, whose sum is σ = 374621505855744. Its totient is φ = 22832587376640.

The previous prime is 101110772540389. The next prime is 101110772540447. The reversal of 101110772540400 is 4045277011101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71814829 + ... + 73209228.

Almost surely, 2^{101110772540400} is an apocalyptic number.

101110772540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110772540400 is an abundant number, since it is smaller than the sum of its proper divisors (273510733315344).

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

101110772540400 is a wasteful number, since it uses less digits than its factorization.

101110772540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145024168 (or 145024157 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 101110772540400 in words is "one hundred one trillion, one hundred ten billion, seven hundred seventy-two million, five hundred forty thousand, four hundred".