102220212201100 has 72 divisors (see below), whose sum is σ = 256560417082368. Its totient is φ = 34624677710400.

The previous prime is 102220212201089. The next prime is 102220212201119. The reversal of 102220212201100 is 1102212022201.

It is a happy 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, 879633916 + ... + 879750115.

It is an arithmetic number, because the mean of its divisors is an integer number (3563339126144).

Almost surely, 2^{102220212201100} is an apocalyptic number.

102220212201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220212201100 is an abundant number, since it is smaller than the sum of its proper divisors (154340204881268).

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

102220212201100 is a wasteful number, since it uses less digits than its factorization.

102220212201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759384135 (or 1759384128 counting only the distinct ones).

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

Adding to 102220212201100 its reverse (1102212022201), we get a palindrome (103322424223301).

The spelling of 102220212201100 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, two hundred one thousand, one hundred".