102200121100012 has 48 divisors (see below), whose sum is σ = 193456116352800. Its totient is φ = 46961580395520.

The previous prime is 102200121099949. The next prime is 102200121100027. The reversal of 102200121100012 is 210001121002201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200121099965 and 102200121100001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357799812 + ... + 358085332.

It is an arithmetic number, because the mean of its divisors is an integer number (4030335757350).

Almost surely, 2^{102200121100012} is an apocalyptic number.

It is an amenable number.

102200121100012 is a deficient number, since it is larger than the sum of its proper divisors (91255995252788).

102200121100012 is a wasteful number, since it uses less digits than its factorization.

102200121100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315826 (or 315824 counting only the distinct ones).

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

Adding to 102200121100012 its reverse (210001121002201), we get a palindrome (312201242102213).

The spelling of 102200121100012 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, twelve".