102220101011100 has 72 divisors (see below), whose sum is σ = 313154285936688. Its totient is φ = 25655241036800.

The previous prime is 102220101011069. The next prime is 102220101011177. The reversal of 102220101011100 is 1110101022201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10021573431 + ... + 10021583630.

It is an arithmetic number, because the mean of its divisors is an integer number (4349365082454).

Almost surely, 2^{102220101011100} is an apocalyptic number.

102220101011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220101011100 is an abundant number, since it is smaller than the sum of its proper divisors (210934184925588).

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

102220101011100 is a wasteful number, since it uses less digits than its factorization.

102220101011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20043157095 (or 20043157088 counting only the distinct ones).

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

Adding to 102220101011100 its reverse (1110101022201), we get a palindrome (103330202033301).

The spelling of 102220101011100 in words is "one hundred two trillion, two hundred twenty billion, one hundred one million, eleven thousand, one hundred".