201012101001100 has 36 divisors (see below), whose sum is σ = 436612080429000. Its totient is φ = 80328191320960.

The previous prime is 201012101001097. The next prime is 201012101001109. The reversal of 201012101001100 is 1100101210102.

201012101001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (201012101001109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958008070 + ... + 958217869.

It is an arithmetic number, because the mean of its divisors is an integer number (12128113345250).

Almost surely, 2^{201012101001100} is an apocalyptic number.

201012101001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012101001100 is an abundant number, since it is smaller than the sum of its proper divisors (235599979427900).

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

201012101001100 is a wasteful number, since it uses less digits than its factorization.

201012101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916227002 (or 1916226995 counting only the distinct ones).

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

Adding to 201012101001100 its reverse (1100101210102), we get a palindrome (202112202211202).

The spelling of 201012101001100 in words is "two hundred one trillion, twelve billion, one hundred one million, one thousand, one hundred".