201120100202000 has 160 divisors (see below), whose sum is σ = 556681834725120. Its totient is φ = 68843700710400.

The previous prime is 201120100201987. The next prime is 201120100202003. The reversal of 201120100202000 is 202001021102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201120100202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003590 + ... + 20279589.

It is an arithmetic number, because the mean of its divisors is an integer number (3479261467032).

Almost surely, 2^{201120100202000} is an apocalyptic number.

201120100202000 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 201120100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278340917362560).

201120100202000 is an abundant number, since it is smaller than the sum of its proper divisors (355561734523120).

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

201120100202000 is a wasteful number, since it uses less digits than its factorization.

201120100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23283826 (or 23283810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201120100202000 its reverse (202001021102), we get a palindrome (201322101223102).

The spelling of 201120100202000 in words is "two hundred one trillion, one hundred twenty billion, one hundred million, two hundred two thousand".