102200201011012 has 72 divisors (see below), whose sum is σ = 203347733817816. Its totient is φ = 44671591120896.

The previous prime is 102200201010949. The next prime is 102200201011057. The reversal of 102200201011012 is 210110102002201.

It can be written as a sum of positive squares in 4 ways, for example, as 6923392362756 + 95276808648256 = 2631234^2 + 9760984^2 .

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 = 102200201010983 and 102200201011001.

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, 54588228 + ... + 56429380.

It is an arithmetic number, because the mean of its divisors is an integer number (2824274080803).

Almost surely, 2^{102200201011012} is an apocalyptic number.

It is an amenable number.

102200201011012 is a deficient number, since it is larger than the sum of its proper divisors (101147532806804).

102200201011012 is a wasteful number, since it uses less digits than its factorization.

102200201011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844165 (or 1844144 counting only the distinct ones).

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

Adding to 102200201011012 its reverse (210110102002201), we get a palindrome (312310303013213).

The spelling of 102200201011012 in words is "one hundred two trillion, two hundred billion, two hundred one million, eleven thousand, twelve".