201111011010100 has 72 divisors (see below), whose sum is σ = 438392381591808. Its totient is φ = 80079193536000.

The previous prime is 201111011010083. The next prime is 201111011010101. The reversal of 201111011010100 is 1010110111102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111011010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414247500 + ... + 414732700.

It is an arithmetic number, because the mean of its divisors is an integer number (6088783077664).

Almost surely, 2^{201111011010100} is an apocalyptic number.

201111011010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111011010100 is an abundant number, since it is smaller than the sum of its proper divisors (237281370581708).

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

201111011010100 is a wasteful number, since it uses less digits than its factorization.

201111011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504025 (or 504018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 201111011010100 its reverse (1010110111102), we get a palindrome (202121121121202).

The spelling of 201111011010100 in words is "two hundred one trillion, one hundred eleven billion, eleven million, ten thousand, one hundred".