101100319200 has 216 divisors, whose sum is σ = 377476339968. Its totient is φ = 25374167040.

The previous prime is 101100319193. The next prime is 101100319237. The reversal of 101100319200 is 2913001101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290592 + ... + 535391.

It is an arithmetic number, because the mean of its divisors is an integer number (1747575648).

Almost surely, 2^101100319200 is an apocalyptic number.

101100319200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100319200 is an abundant number, since it is smaller than the sum of its proper divisors (276376020768).

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

101100319200 is a wasteful number, since it uses less digits than its factorization.

101100319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826026 (or 826010 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 101100319200 in words is "one hundred one billion, one hundred million, three hundred nineteen thousand, two hundred".