201121101122000 has 80 divisors (see below), whose sum is σ = 489531424721664. Its totient is φ = 79915669200000.

The previous prime is 201121101121861. The next prime is 201121101122017. The reversal of 201121101122000 is 221101121102.

201121101122000 is digitally balanced in base 2, because in such base 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 (80).

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, 332679956 + ... + 333283955.

Almost surely, 2^{201121101122000} is an apocalyptic number.

201121101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121101122000 is an abundant number, since it is smaller than the sum of its proper divisors (288410323599664).

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

201121101122000 is a wasteful number, since it uses less digits than its factorization.

201121101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665964085 (or 665964069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121101122000 its reverse (221101121102), we get a palindrome (201342202243102).

The spelling of 201121101122000 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand".