202120100101000 has 192 divisors, whose sum is σ = 503246959787520. Its totient is φ = 75966849100800.

The previous prime is 202120100100911. The next prime is 202120100101001. The reversal of 202120100101000 is 101001021202.

202120100101000 is digitally balanced in base 2, 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 (10).

It is not an unprimeable number, because it can be changed into a prime (202120100101001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174846907 + ... + 175999093.

It is an arithmetic number, because the mean of its divisors is an integer number (2621077915560).

Almost surely, 2^{202120100101000} is an apocalyptic number.

202120100101000 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 202120100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251623479893760).

202120100101000 is an abundant number, since it is smaller than the sum of its proper divisors (301126859686520).

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

202120100101000 is a wasteful number, since it uses less digits than its factorization.

202120100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152849 (or 1152818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202120100101000 its reverse (101001021202), we get a palindrome (202221101122202).

The spelling of 202120100101000 in words is "two hundred two trillion, one hundred twenty billion, one hundred million, one hundred one thousand".