102101002112200 has 192 divisors, whose sum is σ = 299291945339520. Its totient is φ = 31525155072000.

The previous prime is 102101002112117. The next prime is 102101002112231. The reversal of 102101002112200 is 2211200101201.

It is a super-2 number, since 2×102101002112200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67667766 + ... + 69160165.

It is an arithmetic number, because the mean of its divisors is an integer number (1558812215310).

Almost surely, 2^{102101002112200} is an apocalyptic number.

102101002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101002112200 is an abundant number, since it is smaller than the sum of its proper divisors (197190943227320).

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

102101002112200 is a wasteful number, since it uses less digits than its factorization.

102101002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136828008 (or 136827999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101002112200 its reverse (2211200101201), we get a palindrome (104312202213401).

The spelling of 102101002112200 in words is "one hundred two trillion, one hundred one billion, two million, one hundred twelve thousand, two hundred".