2000101010022 has 96 divisors (see below), whose sum is σ = 4506861270912. Its totient is φ = 664802930304.

The previous prime is 2000101009931. The next prime is 2000101010023. The reversal of 2000101010022 is 2200101010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000101009986 and 2000101010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000101010023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329665833 + ... + 329671899.

It is an arithmetic number, because the mean of its divisors is an integer number (46946471572).

Almost surely, 2^{2000101010022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000101010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253430635456).

2000101010022 is an abundant number, since it is smaller than the sum of its proper divisors (2506760260890).

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

2000101010022 is a wasteful number, since it uses less digits than its factorization.

2000101010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000101010022 its reverse (2200101010002), we get a palindrome (4200202020024).

The spelling of 2000101010022 in words is "two trillion, one hundred one million, ten thousand, twenty-two".