201011102001120 has 96 divisors (see below), whose sum is σ = 635974332755328. Its totient is φ = 53366824114688.

The previous prime is 201011102001113. The next prime is 201011102001133. The reversal of 201011102001120 is 21100201110102.

201011102001120 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 tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201011102001096 and 201011102001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922298814 + ... + 922516733.

It is an arithmetic number, because the mean of its divisors is an integer number (6624732632868).

Almost surely, 2^{201011102001120} is an apocalyptic number.

201011102001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011102001120 is an abundant number, since it is smaller than the sum of its proper divisors (434963230754208).

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

201011102001120 is a wasteful number, since it uses less digits than its factorization.

201011102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844815792 (or 1844815784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201011102001120 its reverse (21100201110102), we get a palindrome (222111303111222).

The spelling of 201011102001120 in words is "two hundred one trillion, eleven billion, one hundred two million, one thousand, one hundred twenty".