201011112100 has 18 divisors (see below), whose sum is σ = 436194113474. Its totient is φ = 80404444800.

The previous prime is 201011112067. The next prime is 201011112101. The reversal of 201011112100 is 1211110102.

It can be written as a sum of positive squares in 3 ways, for example, as 1329039936 + 199682072164 = 36456^2 + 446858^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201011112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005055461 + ... + 1005055660.

Almost surely, 2^201011112100 is an apocalyptic number.

201011112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011112100 is an abundant number, since it is smaller than the sum of its proper divisors (235183001374).

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

201011112100 is a wasteful number, since it uses less digits than its factorization.

201011112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010111135 (or 2010111128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201011112100 its reverse (1211110102), we get a palindrome (202222222202).

The spelling of 201011112100 in words is "two hundred one billion, eleven million, one hundred twelve thousand, one hundred".