201001211000000 has 196 divisors, whose sum is σ = 503507438772288. Its totient is φ = 79604400000000.

The previous prime is 201001210999961. The next prime is 201001211000017. The reversal of 201001211000000 is 112100102.

It is a super-3 number, since 3×201001211000000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 100004945 + ... + 101995055.

Almost surely, 2^{201001211000000} is an apocalyptic number.

201001211000000 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 201001211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251753719386144).

201001211000000 is an abundant number, since it is smaller than the sum of its proper divisors (302506227772288).

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

201001211000000 is an frugal number, since it uses more digits than its factorization.

201001211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990254 (or 1990219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201001211000000 its reverse (112100102), we get a palindrome (201001323100102).

The spelling of 201001211000000 in words is "two hundred one trillion, one billion, two hundred eleven million", and thus it is an aban number.