101102201020100 has 108 divisors (see below), whose sum is σ = 270223244394516. Its totient is φ = 32624575764480.

The previous prime is 101102201019973. The next prime is 101102201020153. The reversal of 101102201020100 is 1020102201101.

It can be written as a sum of positive squares in 6 ways, for example, as 4324114564 + 101097876905536 = 65758^2 + 10054744^2 .

It is a super-2 number, since 2×101102201020100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606772649 + ... + 606939248.

It is an arithmetic number, because the mean of its divisors is an integer number (2502067077727).

Almost surely, 2^{101102201020100} is an apocalyptic number.

101102201020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102201020100 is an abundant number, since it is smaller than the sum of its proper divisors (169121043374416).

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

101102201020100 is a wasteful number, since it uses less digits than its factorization.

101102201020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213711942 (or 1213711928 counting only the distinct ones).

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

Adding to 101102201020100 its reverse (1020102201101), we get a palindrome (102122303221201).

The spelling of 101102201020100 in words is "one hundred one trillion, one hundred two billion, two hundred one million, twenty thousand, one hundred".