100100112112010 has 16 divisors (see below), whose sum is σ = 180358774864200. Its totient is φ = 40000361942016.

The previous prime is 100100112112003. The next prime is 100100112112067. The reversal of 100100112112010 is 10211211001001.

It can be written as a sum of positive squares in 4 ways, for example, as 42121618673689 + 57978493438321 = 6490117^2 + 7614361^2 .

It is a super-2 number, since 2×100100112112010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100112111982 and 100100112112000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4960352255 + ... + 4960372434.

Almost surely, 2^{100100112112010} is an apocalyptic number.

100100112112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100112112010 is a deficient number, since it is larger than the sum of its proper divisors (80258662752190).

100100112112010 is a wasteful number, since it uses less digits than its factorization.

100100112112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920725705.

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

Adding to 100100112112010 its reverse (10211211001001), we get a palindrome (110311323113011).

The spelling of 100100112112010 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, ten".