10200002202112 has 40 divisors (see below), whose sum is σ = 21578910927156. Its totient is φ = 4800001032192.

The previous prime is 10200002202107. The next prime is 10200002202149. The reversal of 10200002202112 is 21120220000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9654791270656 + 545210931456 = 3107216^2 + 738384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200002202092 and 10200002202101.

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, 585928923 + ... + 585946330.

Almost surely, 2^{10200002202112} is an apocalyptic number.

It is an amenable number.

10200002202112 is an abundant number, since it is smaller than the sum of its proper divisors (11378908725044).

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

10200002202112 is an equidigital number, since it uses as much as digits as its factorization.

10200002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171875288 (or 1171875272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200002202112 its reverse (21120220000201), we get a palindrome (31320222202313).

The spelling of 10200002202112 in words is "ten trillion, two hundred billion, two million, two hundred two thousand, one hundred twelve".