102100111210010 has 32 divisors (see below), whose sum is σ = 185120334781200. Its totient is φ = 40543029895680.

The previous prime is 102100111209953. The next prime is 102100111210049. The reversal of 102100111210010 is 10012111001201.

102100111210010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10891635769 + 102089219574241 = 104363^2 + 10103921^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102100111209973 and 102100111210000.

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, 48538565 + ... + 50598344.

Almost surely, 2^{102100111210010} is an apocalyptic number.

102100111210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100111210010 is a deficient number, since it is larger than the sum of its proper divisors (83020223571190).

102100111210010 is a wasteful number, since it uses less digits than its factorization.

102100111210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99137666.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100111210010 its reverse (10012111001201), we get a palindrome (112112222211211).

The spelling of 102100111210010 in words is "one hundred two trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, ten".