10102000101110 has 32 divisors (see below), whose sum is σ = 18189258417792. Its totient is φ = 4039542904320.

The previous prime is 10102000101101. The next prime is 10102000101113. The reversal of 10102000101110 is 1110100020101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000101113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776652227 + ... + 776665233.

It is an arithmetic number, because the mean of its divisors is an integer number (568414325556).

Almost surely, 2^{10102000101110} is an apocalyptic number.

10102000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102000101110 is a deficient number, since it is larger than the sum of its proper divisors (8087258316682).

10102000101110 is a wasteful number, since it uses less digits than its factorization.

10102000101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31208.

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

Adding to 10102000101110 its reverse (1110100020101), we get a palindrome (11212100121211).

The spelling of 10102000101110 in words is "ten trillion, one hundred two billion, one hundred one thousand, one hundred ten".