101292470400 has 192 divisors, whose sum is σ = 363962642400. Its totient is φ = 24555724800.

The previous prime is 101292470341. The next prime is 101292470443. The reversal of 101292470400 is 4074292101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374005 + ... + 585204.

Almost surely, 2^101292470400 is an apocalyptic number.

101292470400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101292470400 is an abundant number, since it is smaller than the sum of its proper divisors (262670172000).

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

101292470400 is a wasteful number, since it uses less digits than its factorization.

101292470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959247 (or 959230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 101292470400 in words is "one hundred one billion, two hundred ninety-two million, four hundred seventy thousand, four hundred".