101199312900 has 432 divisors, whose sum is σ = 379381968000. Its totient is φ = 23074571520.

The previous prime is 101199312887. The next prime is 101199312923. The reversal of 101199312900 is 9213991101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79247062 + ... + 79248338.

It is an arithmetic number, because the mean of its divisors is an integer number (878199000).

Almost surely, 2^101199312900 is an apocalyptic number.

101199312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101199312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189690984000).

101199312900 is an abundant number, since it is smaller than the sum of its proper divisors (278182655100).

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

101199312900 is a wasteful number, since it uses less digits than its factorization.

101199312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The spelling of 101199312900 in words is "one hundred one billion, one hundred ninety-nine million, three hundred twelve thousand, nine hundred".