10100100102110 has 64 divisors (see below), whose sum is σ = 18772931205504. Its totient is φ = 3910901568000.

The previous prime is 10100100102077. The next prime is 10100100102121. The reversal of 10100100102110 is 1120100100101.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9798044 + ... + 10779696.

It is an arithmetic number, because the mean of its divisors is an integer number (293327050086).

Almost surely, 2^{10100100102110} is an apocalyptic number.

10100100102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100100102110 is a deficient number, since it is larger than the sum of its proper divisors (8672831103394).

10100100102110 is a wasteful number, since it uses less digits than its factorization.

10100100102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981989.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100102110 its reverse (1120100100101), we get a palindrome (11220200202211).

The spelling of 10100100102110 in words is "ten trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred ten".