102102111221200 has 60 divisors (see below), whose sum is σ = 245311553891628. Its totient is φ = 40838974489600.

The previous prime is 102102111221197. The next prime is 102102111221261. The reversal of 102102111221200 is 2122111201201.

It can be written as a sum of positive squares in 6 ways, for example, as 20000680172944 + 82101431048256 = 4472212^2 + 9060984^2 .

It is a super-2 number, since 2×102102111221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2919594 + ... + 14585206.

Almost surely, 2^{102102111221200} is an apocalyptic number.

102102111221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102111221200 is an abundant number, since it is smaller than the sum of its proper divisors (143209442670428).

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

102102111221200 is a wasteful number, since it uses less digits than its factorization.

102102111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687512 (or 11687501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102102111221200 its reverse (2122111201201), we get a palindrome (104224222422401).

The spelling of 102102111221200 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".