100102112211200 has 216 divisors, whose sum is σ = 279613211734080. Its totient is φ = 35145568460800.

The previous prime is 100102112211151. The next prime is 100102112211223. The reversal of 100102112211200 is 2112211201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22474004 + ... + 26557203.

It is an arithmetic number, because the mean of its divisors is an integer number (1294505609880).

Almost surely, 2^{100102112211200} is an apocalyptic number.

100102112211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102112211200 is an abundant number, since it is smaller than the sum of its proper divisors (179511099522880).

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

100102112211200 is a wasteful number, since it uses less digits than its factorization.

100102112211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49031273 (or 49031254 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100102112211200 its reverse (2112211201001), we get a palindrome (102214323412201).

The spelling of 100102112211200 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred".