101344133100 has 144 divisors (see below), whose sum is σ = 337750827008. Its totient is φ = 22981916160.

The previous prime is 101344133063. The next prime is 101344133123. The reversal of 101344133100 is 1331443101.

It is a super-2 number, since 2×101344133100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76704 + ... + 456696.

Almost surely, 2^101344133100 is an apocalyptic number.

101344133100 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 101344133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168875413504).

101344133100 is an abundant number, since it is smaller than the sum of its proper divisors (236406693908).

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

101344133100 is a wasteful number, since it uses less digits than its factorization.

101344133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380144 (or 380137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101344133100 its reverse (1331443101), we get a palindrome (102675576201).

The spelling of 101344133100 in words is "one hundred one billion, three hundred forty-four million, one hundred thirty-three thousand, one hundred".