101113120100 has 144 divisors (see below), whose sum is σ = 225058928640. Its totient is φ = 39423283200.

The previous prime is 101113120067. The next prime is 101113120133. The reversal of 101113120100 is 1021311101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101113120067) and next prime (101113120133).

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, 259930706 + ... + 259931094.

Almost surely, 2^101113120100 is an apocalyptic number.

101113120100 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 101113120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112529464320).

101113120100 is an abundant number, since it is smaller than the sum of its proper divisors (123945808540).

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

101113120100 is a wasteful number, since it uses less digits than its factorization.

101113120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101113120100 its reverse (1021311101), we get a palindrome (102134431201).

The spelling of 101113120100 in words is "one hundred one billion, one hundred thirteen million, one hundred twenty thousand, one hundred".