101201201020100 has 72 divisors (see below), whose sum is σ = 232720205344200. Its totient is φ = 38131318758400.

The previous prime is 101201201020081. The next prime is 101201201020151. The reversal of 101201201020100 is 1020102102101.

It can be written as a sum of positive squares in 12 ways, for example, as 56731295152324 + 44469905867776 = 7532018^2 + 6668576^2 .

It is an unprimeable number.

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, 425453855 + ... + 425691654.

It is an arithmetic number, because the mean of its divisors is an integer number (3232225074225).

Almost surely, 2^{101201201020100} is an apocalyptic number.

101201201020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201201020100 is an abundant number, since it is smaller than the sum of its proper divisors (131519004324100).

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

101201201020100 is a wasteful number, since it uses less digits than its factorization.

101201201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851145593 (or 851145586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201201020100 its reverse (1020102102101), we get a palindrome (102221303122201).

The spelling of 101201201020100 in words is "one hundred one trillion, two hundred one billion, two hundred one million, twenty thousand, one hundred".