201000121120000 has 180 divisors, whose sum is σ = 501930395574916. Its totient is φ = 80308316160000.

The previous prime is 201000121119989. The next prime is 201000121120027. The reversal of 201000121120000 is 21121000102.

It can be written as a sum of positive squares in 10 ways, for example, as 50567344989184 + 150432776130816 = 7111072^2 + 12265104^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139603780 + ... + 141036220.

Almost surely, 2^{201000121120000} is an apocalyptic number.

201000121120000 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 201000121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250965197787458).

201000121120000 is an abundant number, since it is smaller than the sum of its proper divisors (300930274454916).

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

201000121120000 is an frugal number, since it uses more digits than its factorization.

201000121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433354 (or 1433325 counting only the distinct ones).

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

Adding to 201000121120000 its reverse (21121000102), we get a palindrome (201021242120102).

The spelling of 201000121120000 in words is "two hundred one trillion, one hundred twenty-one million, one hundred twenty thousand".