102220212021100 has 72 divisors (see below), whose sum is σ = 235093336532208. Its totient is φ = 38445649152000.

The previous prime is 102220212021097. The next prime is 102220212021101. The reversal of 102220212021100 is 1120212022201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102220212021101) 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, 27348226 + ... + 30860425.

It is an arithmetic number, because the mean of its divisors is an integer number (3265185229614).

Almost surely, 2^{102220212021100} is an apocalyptic number.

102220212021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220212021100 is an abundant number, since it is smaller than the sum of its proper divisors (132873124511108).

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

102220212021100 is a wasteful number, since it uses less digits than its factorization.

102220212021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58209715 (or 58209708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220212021100 its reverse (1120212022201), we get a palindrome (103340424043301).

The spelling of 102220212021100 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, twenty-one thousand, one hundred".