2121000201120 has 96 divisors (see below), whose sum is σ = 6861722329728. Its totient is φ = 550313561088.

The previous prime is 2121000201119. The next prime is 2121000201269. The reversal of 2121000201120 is 211020001212.

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 = 2121000201096 and 2121000201105.

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, 59695084 + ... + 59730603.

It is an arithmetic number, because the mean of its divisors is an integer number (71476274268).

Almost surely, 2^{2121000201120} is an apocalyptic number.

2121000201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000201120 is an abundant number, since it is smaller than the sum of its proper divisors (4740722128608).

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

2121000201120 is a wasteful number, since it uses less digits than its factorization.

2121000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119425742 (or 119425734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121000201120 its reverse (211020001212), we get a palindrome (2332020202332).

The spelling of 2121000201120 in words is "two trillion, one hundred twenty-one billion, two hundred one thousand, one hundred twenty".