201012122000 has 160 divisors (see below), whose sum is σ = 506613479424. Its totient is φ = 77053248000.

The previous prime is 201012121957. The next prime is 201012122083. The reversal of 201012122000 is 221210102.

It is a happy 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, 6370262 + ... + 6401738.

Almost surely, 2^201012122000 is an apocalyptic number.

201012122000 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 201012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253306739712).

201012122000 is an abundant number, since it is smaller than the sum of its proper divisors (305601357424).

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

201012122000 is a wasteful number, since it uses less digits than its factorization.

201012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31634 (or 31618 counting only the distinct ones).

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

Adding to 201012122000 its reverse (221210102), we get a palindrome (201233332102).

The spelling of 201012122000 in words is "two hundred one billion, twelve million, one hundred twenty-two thousand".