202101121200000 has 1152 divisors, whose sum is σ = 744897418201440. Its totient is φ = 48505600000000.

The previous prime is 202101121199987. The next prime is 202101121200031. The reversal of 202101121200000 is 2121101202.

202101121200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14665193110 + ... + 14665206890.

Almost surely, 2^{202101121200000} is an apocalyptic number.

202101121200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372448709100720).

202101121200000 is an abundant number, since it is smaller than the sum of its proper divisors (542796297001440).

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

202101121200000 is a wasteful number, since it uses less digits than its factorization.

202101121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13903 counting only the distinct ones).

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

Adding to 202101121200000 its reverse (2121101202), we get a palindrome (202103242301202).

The spelling of 202101121200000 in words is "two hundred two trillion, one hundred one billion, one hundred twenty-one million, two hundred thousand".