101134020100 has 72 divisors (see below), whose sum is σ = 220570257600. Its totient is φ = 40249526400.

The previous prime is 101134020089. The next prime is 101134020101. The reversal of 101134020100 is 1020431101.

It is not an unprimeable number, because it can be changed into a prime (101134020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24719055 + ... + 24723145.

It is an arithmetic number, because the mean of its divisors is an integer number (3063475800).

Almost surely, 2^101134020100 is an apocalyptic number.

101134020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101134020100 is an abundant number, since it is smaller than the sum of its proper divisors (119436237500).

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

101134020100 is a wasteful number, since it uses less digits than its factorization.

101134020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101134020100 its reverse (1020431101), we get a palindrome (102154451201).

The spelling of 101134020100 in words is "one hundred one billion, one hundred thirty-four million, twenty thousand, one hundred".