102210221111100 has 72 divisors (see below), whose sum is σ = 295825489425648. Its totient is φ = 27247095859200.

The previous prime is 102210221111099. The next prime is 102210221111107. The reversal of 102210221111100 is 1111122012201.

It is a happy number.

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 102210221111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210221111107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55105579 + ... + 56930178.

It is an arithmetic number, because the mean of its divisors is an integer number (4108687353134).

Almost surely, 2^{102210221111100} is an apocalyptic number.

102210221111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210221111100 is an abundant number, since it is smaller than the sum of its proper divisors (193615268314548).

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

102210221111100 is a wasteful number, since it uses less digits than its factorization.

102210221111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112038815 (or 112038808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102210221111100 its reverse (1111122012201), we get a palindrome (103321343123301).

The spelling of 102210221111100 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".