101019135900 has 144 divisors (see below), whose sum is σ = 296044329728. Its totient is φ = 26593920000.

The previous prime is 101019135871. The next prime is 101019135907. The reversal of 101019135900 is 9531910101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101019135907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7377060 + ... + 7390740.

Almost surely, 2^101019135900 is an apocalyptic number.

101019135900 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 101019135900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148022164864).

101019135900 is an abundant number, since it is smaller than the sum of its proper divisors (195025193828).

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

101019135900 is a wasteful number, since it uses less digits than its factorization.

101019135900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 30.

The spelling of 101019135900 in words is "one hundred one billion, nineteen million, one hundred thirty-five thousand, nine hundred".