102102022200100 has 72 divisors (see below), whose sum is σ = 238720237176960. Its totient is φ = 37680933233280.

The previous prime is 102102022200097. The next prime is 102102022200103. The reversal of 102102022200100 is 1002220201201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102102022200097) and next prime (102102022200103).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102102022200103) 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, 16353490 + ... + 21717289.

It is an arithmetic number, because the mean of its divisors is an integer number (3315558849680).

Almost surely, 2^{102102022200100} is an apocalyptic number.

102102022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102022200100 is an abundant number, since it is smaller than the sum of its proper divisors (136618214976860).

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

102102022200100 is a wasteful number, since it uses less digits than its factorization.

102102022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38072869 (or 38072862 counting only the distinct ones).

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

Adding to 102102022200100 its reverse (1002220201201), we get a palindrome (103104242401301).

The spelling of 102102022200100 in words is "one hundred two trillion, one hundred two billion, twenty-two million, two hundred thousand, one hundred".