10100111100010 has 16 divisors (see below), whose sum is σ = 18185168671200. Its totient is φ = 4038940286416.

The previous prime is 10100111099989. The next prime is 10100111100019. The reversal of 10100111100010 is 1000111100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100111099966 and 10100111100002.

It is not an unprimeable number, because it can be changed into a prime (10100111100019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137980780 + ... + 138053959.

It is an arithmetic number, because the mean of its divisors is an integer number (1136573041950).

Almost surely, 2^{10100111100010} is an apocalyptic number.

10100111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100111100010 is a deficient number, since it is larger than the sum of its proper divisors (8085057571190).

10100111100010 is a wasteful number, since it uses less digits than its factorization.

10100111100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276038405.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111100010 its reverse (1000111100101), we get a palindrome (11100222200111).

Subtracting from 10100111100010 its reverse (1000111100101), we obtain a palindrome (9099999999909).

The spelling of 10100111100010 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, ten".