10012100110 has 32 divisors (see below), whose sum is σ = 18308063232. Its totient is φ = 3941335200.

The previous prime is 10012100093. The next prime is 10012100117. The reversal of 10012100110 is 1100121001.

It is a super-2 number, since 2×10012100110² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012100093 and 10012100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764679 + ... + 777661.

It is an arithmetic number, because the mean of its divisors is an integer number (572126976).

Almost surely, 2^10012100110 is an apocalyptic number.

10012100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012100110 is a deficient number, since it is larger than the sum of its proper divisors (8295963122).

10012100110 is a wasteful number, since it uses less digits than its factorization.

10012100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208.

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

Adding to 10012100110 its reverse (1100121001), we get a palindrome (11112221111).

The spelling of 10012100110 in words is "ten billion, twelve million, one hundred thousand, one hundred ten".