101021221130100 has 72 divisors (see below), whose sum is σ = 292314771386400. Its totient is φ = 26936531018880.

The previous prime is 101021221130059. The next prime is 101021221130131. The reversal of 101021221130100 is 1031122120101.

It is a super-2 number, since 2×101021221130100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101021221130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12092842 + ... + 18662241.

Almost surely, 2^{101021221130100} is an apocalyptic number.

101021221130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021221130100 is an abundant number, since it is smaller than the sum of its proper divisors (191293550256300).

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

101021221130100 is a wasteful number, since it uses less digits than its factorization.

101021221130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30766049 (or 30766042 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101021221130100 its reverse (1031122120101), we get a palindrome (102052343250201).

Subtracting from 101021221130100 its reverse (1031122120101), we obtain a palindrome (99990099009999).

The spelling of 101021221130100 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, one hundred thirty thousand, one hundred".