10100002100110 has 32 divisors (see below), whose sum is σ = 20033778774240. Its totient is φ = 3642505227648.

The previous prime is 10100002100063. The next prime is 10100002100131. The reversal of 10100002100110 is 1100120000101.

10100002100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10100002100093 and 10100002100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903393525 + ... + 903404704.

It is an arithmetic number, because the mean of its divisors is an integer number (626055586695).

Almost surely, 2^{10100002100110} is an apocalyptic number.

10100002100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100002100110 is a deficient number, since it is larger than the sum of its proper divisors (9933776674130).

10100002100110 is a wasteful number, since it uses less digits than its factorization.

10100002100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806798292.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100002100110 its reverse (1100120000101), we get a palindrome (11200122100211).

The spelling of 10100002100110 in words is "ten trillion, one hundred billion, two million, one hundred thousand, one hundred ten".