10100010000110 has 128 divisors (see below), whose sum is σ = 20197786752000. Its totient is φ = 3619170035712.

The previous prime is 10100010000097. The next prime is 10100010000137. The reversal of 10100010000110 is 1100001000101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10100010000094 and 10100010000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192065801 + ... + 192118379.

It is an arithmetic number, because the mean of its divisors is an integer number (157795209000).

Almost surely, 2^{10100010000110} is an apocalyptic number.

10100010000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010000110 is a deficient number, since it is larger than the sum of its proper divisors (10097776751890).

10100010000110 is a wasteful number, since it uses less digits than its factorization.

10100010000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53130.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100010000110 its reverse (1100001000101), we get a palindrome (11200011000211).

Subtracting from 10100010000110 its reverse (1100001000101), we obtain a palindrome (9000009000009).

The spelling of 10100010000110 in words is "ten trillion, one hundred billion, ten million, one hundred ten", and thus it is an aban number.