101201020112100 has 72 divisors (see below), whose sum is σ = 305539079872320. Its totient is φ = 25813593534080.

The previous prime is 101201020112089. The next prime is 101201020112107. The reversal of 101201020112100 is 1211020102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101201020112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7333400355 + ... + 7333414154.

It is an arithmetic number, because the mean of its divisors is an integer number (4243598331560).

Almost surely, 2^{101201020112100} is an apocalyptic number.

101201020112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201020112100 is an abundant number, since it is smaller than the sum of its proper divisors (204338059760220).

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

101201020112100 is a wasteful number, since it uses less digits than its factorization.

101201020112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666814549 (or 14666814542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201020112100 its reverse (1211020102101), we get a palindrome (102412040214201).

Subtracting from 101201020112100 its reverse (1211020102101), we obtain a palindrome (99990000009999).

The spelling of 101201020112100 in words is "one hundred one trillion, two hundred one billion, twenty million, one hundred twelve thousand, one hundred".