102200220201100 has 72 divisors (see below), whose sum is σ = 253506262060800. Its totient is φ = 35033202323520.

The previous prime is 102200220201077. The next prime is 102200220201109. The reversal of 102200220201100 is 1102022002201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102200220201109) 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, 10747264 + ... + 17885863.

It is an arithmetic number, because the mean of its divisors is an integer number (3520920306400).

Almost surely, 2^{102200220201100} is an apocalyptic number.

102200220201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200220201100 is an abundant number, since it is smaller than the sum of its proper divisors (151306041859700).

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

102200220201100 is a wasteful number, since it uses less digits than its factorization.

102200220201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28638247 (or 28638240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200220201100 its reverse (1102022002201), we get a palindrome (103302242203301).

The spelling of 102200220201100 in words is "one hundred two trillion, two hundred billion, two hundred twenty million, two hundred one thousand, one hundred".