101919157200 has 840 divisors, whose sum is σ = 428552184000. Its totient is φ = 23272945920.

The previous prime is 101919157183. The next prime is 101919157201. The reversal of 101919157200 is 2751919101.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101919157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 100018291 + ... + 100019309.

Almost surely, 2^101919157200 is an apocalyptic number.

101919157200 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 101919157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276092000).

101919157200 is an abundant number, since it is smaller than the sum of its proper divisors (326633026800).

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

101919157200 is an equidigital number, since it uses as much as digits as its factorization.

101919157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 101919157200 in words is "one hundred one billion, nine hundred nineteen million, one hundred fifty-seven thousand, two hundred".