2001022010988 has 384 divisors, whose sum is σ = 6497997520896. Its totient is φ = 462540672000.

The previous prime is 2001022010969. The next prime is 2001022011013. The reversal of 2001022010988 is 8890102201002.

It is a super-2 number, since 2×2001022010988² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37799338 + ... + 37852238.

It is an arithmetic number, because the mean of its divisors is an integer number (16921868544).

Almost surely, 2^{2001022010988} is an apocalyptic number.

2001022010988 is a gapful number since it is divisible by the number (28) 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 2001022010988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248998760448).

2001022010988 is an abundant number, since it is smaller than the sum of its proper divisors (4496975509908).

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

2001022010988 is a wasteful number, since it uses less digits than its factorization.

2001022010988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53053 (or 53051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 2001022010988 in words is "two trillion, one billion, twenty-two million, ten thousand, nine hundred eighty-eight".