101919201900 has 144 divisors (see below), whose sum is σ = 300695337600. Its totient is φ = 26645552640.

The previous prime is 101919201869. The next prime is 101919201919. The reversal of 101919201900 is 9102919101.

It is a super-2 number, since 2×101919201900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6700704 + ... + 6715896.

Almost surely, 2^101919201900 is an apocalyptic number.

101919201900 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 101919201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150347668800).

101919201900 is an abundant number, since it is smaller than the sum of its proper divisors (198776135700).

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

101919201900 is a wasteful number, since it uses less digits than its factorization.

101919201900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 101919201900 in words is "one hundred one billion, nine hundred nineteen million, two hundred one thousand, nine hundred".