101137300000 has 144 divisors (see below), whose sum is σ = 271504747584. Its totient is φ = 36776800000.

The previous prime is 101137299961. The next prime is 101137300057. The reversal of 101137300000 is 3731101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054029 + ... + 1145971.

It is an arithmetic number, because the mean of its divisors is an integer number (1885449636).

Almost surely, 2^101137300000 is an apocalyptic number.

101137300000 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 101137300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135752373792).

101137300000 is an abundant number, since it is smaller than the sum of its proper divisors (170367447584).

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

101137300000 is an frugal number, since it uses more digits than its factorization.

101137300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91989 (or 91961 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The spelling of 101137300000 in words is "one hundred one billion, one hundred thirty-seven million, three hundred thousand".