10001102112110 has 32 divisors (see below), whose sum is σ = 18527669758080. Its totient is φ = 3885255577888.

The previous prime is 10001102112083. The next prime is 10001102112121. The reversal of 10001102112110 is 1121120110001.

It is a super-2 number, since 2×10001102112110² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001102112091 and 10001102112100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102065612 + ... + 102163551.

It is an arithmetic number, because the mean of its divisors is an integer number (578989679940).

Almost surely, 2^{10001102112110} is an apocalyptic number.

10001102112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001102112110 is a deficient number, since it is larger than the sum of its proper divisors (8526567645970).

10001102112110 is a wasteful number, since it uses less digits than its factorization.

10001102112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204229312.

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

Adding to 10001102112110 its reverse (1121120110001), we get a palindrome (11122222222111).

The spelling of 10001102112110 in words is "ten trillion, one billion, one hundred two million, one hundred twelve thousand, one hundred ten".