201000011122000 has 320 divisors, whose sum is σ = 523418827336704. Its totient is φ = 74379794227200.

The previous prime is 201000011121941. The next prime is 201000011122021. The reversal of 201000011122000 is 221110000102.

201000011122000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201000011122000³ (a number of 44 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1054618714 + ... + 1054809286.

Almost surely, 2^{201000011122000} is an apocalyptic number.

201000011122000 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 201000011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261709413668352).

201000011122000 is an abundant number, since it is smaller than the sum of its proper divisors (322418816214704).

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

201000011122000 is a wasteful number, since it uses less digits than its factorization.

201000011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191143 (or 191127 counting only the distinct ones).

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

Adding to 201000011122000 its reverse (221110000102), we get a palindrome (201221121122102).

The spelling of 201000011122000 in words is "two hundred one trillion, eleven million, one hundred twenty-two thousand".