102200000110112 has 24 divisors (see below), whose sum is σ = 201287480187276. Its totient is φ = 51079370221312.

The previous prime is 102200000110063. The next prime is 102200000110121. The reversal of 102200000110112 is 211011000002201.

It can be written as a sum of positive squares in 2 ways, for example, as 93234550886416 + 8965449223696 = 9655804^2 + 2994236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102200000110093 and 102200000110102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644601803 + ... + 644760330.

Almost surely, 2^{102200000110112} is an apocalyptic number.

It is an amenable number.

102200000110112 is a deficient number, since it is larger than the sum of its proper divisors (99087480077164).

102200000110112 is a wasteful number, since it uses less digits than its factorization.

102200000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289364620 (or 1289364612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102200000110112 its reverse (211011000002201), we get a palindrome (313211000112313).

The spelling of 102200000110112 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred twelve".