2100102112010 has 64 divisors (see below), whose sum is σ = 4344176738304. Its totient is φ = 716051342400.

The previous prime is 2100102112007. The next prime is 2100102112013. The reversal of 2100102112010 is 102112010012.

It is an interprime number because it is at equal distance from previous prime (2100102112007) and next prime (2100102112013).

It is a junction number, because it is equal to n+sod(n) for n = 2100102111982 and 2100102112000.

It is not an unprimeable number, because it can be changed into a prime (2100102112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9270959 + ... + 9494781.

It is an arithmetic number, because the mean of its divisors is an integer number (67877761536).

Almost surely, 2^{2100102112010} is an apocalyptic number.

2100102112010 is an abundant number, since it is smaller than the sum of its proper divisors (2244074626294).

2100102112010 is a wasteful number, since it uses less digits than its factorization.

2100102112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224579.

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

Adding to 2100102112010 its reverse (102112010012), we get a palindrome (2202214122022).

The spelling of 2100102112010 in words is "two trillion, one hundred billion, one hundred two million, one hundred twelve thousand, ten".