102201212220100 has 108 divisors (see below), whose sum is σ = 258415760332800. Its totient is φ = 34981916424000.

The previous prime is 102201212220049. The next prime is 102201212220109. The reversal of 102201212220100 is 1022212102201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102201212220109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14475076 + ... + 20345275.

It is an arithmetic number, because the mean of its divisors is an integer number (2392738521600).

Almost surely, 2^{102201212220100} is an apocalyptic number.

102201212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201212220100 is an abundant number, since it is smaller than the sum of its proper divisors (156214548112700).

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

102201212220100 is a wasteful number, since it uses less digits than its factorization.

102201212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34820978 (or 34820964 counting only the distinct ones).

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

Adding to 102201212220100 its reverse (1022212102201), we get a palindrome (103223424322301).

The spelling of 102201212220100 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, two hundred twenty thousand, one hundred".