201121211001120 has 96 divisors (see below), whose sum is σ = 634600165997952. Its totient is φ = 53541880492032.

The previous prime is 201121211001047. The next prime is 201121211001167. The reversal of 201121211001120 is 21100112121102.

It is a happy number.

201121211001120 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201121211001120.

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, 353005852 + ... + 353575131.

It is an arithmetic number, because the mean of its divisors is an integer number (6610418395812).

Almost surely, 2^{201121211001120} is an apocalyptic number.

201121211001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121211001120 is an abundant number, since it is smaller than the sum of its proper divisors (433478954996832).

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

201121211001120 is a wasteful number, since it uses less digits than its factorization.

201121211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706581594 (or 706581586 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201121211001120 its reverse (21100112121102), we get a palindrome (222221323122222).

The spelling of 201121211001120 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, one hundred twenty".