100201102020110 has 64 divisors (see below), whose sum is σ = 226514265264000. Its totient is φ = 31711997108736.

The previous prime is 100201102020109. The next prime is 100201102020133. The reversal of 100201102020110 is 11020201102001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201102020091 and 100201102020100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123538075 + ... + 1123627254.

It is an arithmetic number, because the mean of its divisors is an integer number (3539285394750).

Almost surely, 2^{100201102020110} is an apocalyptic number.

100201102020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201102020110 is an abundant number, since it is smaller than the sum of its proper divisors (126313163243890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100201102020110 is a wasteful number, since it uses less digits than its factorization.

100201102020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247165370 (or 2247165356 counting only the distinct ones).

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

Adding to 100201102020110 its reverse (11020201102001), we get a palindrome (111221303122111).

The spelling of 100201102020110 in words is "one hundred trillion, two hundred one billion, one hundred two million, twenty thousand, one hundred ten".