100012112200010 has 32 divisors (see below), whose sum is σ = 191825404612560. Its totient is φ = 37411799473152.

The previous prime is 100012112200003. The next prime is 100012112200081. The reversal of 100012112200010 is 10002211210001.

It can be written as a sum of positive squares in 8 ways, for example, as 37436054487001 + 62576057713009 = 6118501^2 + 7910503^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100012112199964 and 100012112200000.

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, 1873561025 + ... + 1873614404.

Almost surely, 2^{100012112200010} is an apocalyptic number.

100012112200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012112200010 is a deficient number, since it is larger than the sum of its proper divisors (91813292412550).

100012112200010 is a wasteful number, since it uses less digits than its factorization.

100012112200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747175610.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012112200010 its reverse (10002211210001), we get a palindrome (110014323410011).

Subtracting from 100012112200010 its reverse (10002211210001), we obtain a palindrome (90009900990009).

The spelling of 100012112200010 in words is "one hundred trillion, twelve billion, one hundred twelve million, two hundred thousand, ten".