201011101101100 has 72 divisors (see below), whose sum is σ = 459163206048960. Its totient is φ = 76170714477120.

The previous prime is 201011101101089. The next prime is 201011101101101. The reversal of 201011101101100 is 1101101110102.

201011101101100 is digitally balanced in base 2 and base 3, because in such bases 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 (201011101101101) 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, 75502827 + ... + 78119773.

It is an arithmetic number, because the mean of its divisors is an integer number (6377266750680).

Almost surely, 2^{201011101101100} is an apocalyptic number.

201011101101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011101101100 is an abundant number, since it is smaller than the sum of its proper divisors (258152104947860).

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

201011101101100 is a wasteful number, since it uses less digits than its factorization.

201011101101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657407 (or 2657400 counting only the distinct ones).

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

Adding to 201011101101100 its reverse (1101101110102), we get a palindrome (202112202211202).

The spelling of 201011101101100 in words is "two hundred one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred".