102210021101100 has 72 divisors (see below), whose sum is σ = 322611993885888. Its totient is φ = 24778186932800.

The previous prime is 102210021101051. The next prime is 102210021101113. The reversal of 102210021101100 is 1101120012201.

102210021101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102210021101100³ (a number of 43 digits) contains 333 as substring.

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

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, 15486363534 + ... + 15486370133.

It is an arithmetic number, because the mean of its divisors is an integer number (4480722137304).

Almost surely, 2^{102210021101100} is an apocalyptic number.

102210021101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210021101100 is an abundant number, since it is smaller than the sum of its proper divisors (220401972784788).

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

102210021101100 is a wasteful number, since it uses less digits than its factorization.

102210021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30972733695 (or 30972733688 counting only the distinct ones).

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

Adding to 102210021101100 its reverse (1101120012201), we get a palindrome (103311141113301).

The spelling of 102210021101100 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, one hundred one thousand, one hundred".