2101233121200 has 90 divisors (see below), whose sum is σ = 7291862618924. Its totient is φ = 560328831360.

The previous prime is 2101233121199. The next prime is 2101233121201. The reversal of 2101233121200 is 21213321012.

2101233121200 is a `hidden beast` number, since 210 + 1 + 2 + 331 + 2 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2101233121199) and next prime (2101233121201).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2101233121201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291834334 + ... + 291841533.

Almost surely, 2^{2101233121200} is an apocalyptic number.

2101233121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101233121200 is an abundant number, since it is smaller than the sum of its proper divisors (5190629497724).

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

2101233121200 is a wasteful number, since it uses less digits than its factorization.

2101233121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583675891 (or 583675877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2101233121200 its reverse (21213321012), we get a palindrome (2122446442212).

The spelling of 2101233121200 in words is "two trillion, one hundred one billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred".