201002021132000 has 192 divisors, whose sum is σ = 540597309190848. Its totient is φ = 72842179840000.

The previous prime is 201002021131993. The next prime is 201002021132027. The reversal of 201002021132000 is 231120200102.

It is a happy number.

It is a super-2 number, since 2×201002021132000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5096390 + ... + 20687610.

It is an arithmetic number, because the mean of its divisors is an integer number (2815610985369).

Almost surely, 2^{201002021132000} is an apocalyptic number.

201002021132000 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 201002021132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270298654595424).

201002021132000 is an abundant number, since it is smaller than the sum of its proper divisors (339595288058848).

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

201002021132000 is a wasteful number, since it uses less digits than its factorization.

201002021132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15591550 (or 15591532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201002021132000 its reverse (231120200102), we get a palindrome (201233141332102).

The spelling of 201002021132000 in words is "two hundred one trillion, two billion, twenty-one million, one hundred thirty-two thousand".