101100202100210 has 16 divisors (see below), whose sum is σ = 186418909239192. Its totient is φ = 39453737404800.

The previous prime is 101100202100173. The next prime is 101100202100257. The reversal of 101100202100210 is 12001202001101.

It can be written as a sum of positive squares in 4 ways, for example, as 40416242320129 + 60683959780081 = 6357377^2 + 7789991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100202100191 and 101100202100200.

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, 123292928981 + ... + 123292929800.

Almost surely, 2^{101100202100210} is an apocalyptic number.

101100202100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100202100210 is a deficient number, since it is larger than the sum of its proper divisors (85318707138982).

101100202100210 is a wasteful number, since it uses less digits than its factorization.

101100202100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246585858829.

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

Adding to 101100202100210 its reverse (12001202001101), we get a palindrome (113101404101311).

The spelling of 101100202100210 in words is "one hundred one trillion, one hundred billion, two hundred two million, one hundred thousand, two hundred ten".