102001010022 has 128 divisors (see below), whose sum is σ = 236127744000. Its totient is φ = 32603109120.

The previous prime is 102001010011. The next prime is 102001010039. The reversal of 102001010022 is 220010100201.

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 = 102001009986 and 102001010013.

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, 164783229 + ... + 164783847.

It is an arithmetic number, because the mean of its divisors is an integer number (1844748000).

Almost surely, 2^102001010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118063872000).

102001010022 is an abundant number, since it is smaller than the sum of its proper divisors (134126733978).

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

102001010022 is a wasteful number, since it uses less digits than its factorization.

102001010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

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

Adding to 102001010022 its reverse (220010100201), we get a palindrome (322011110223).

The spelling of 102001010022 in words is "one hundred two billion, one million, ten thousand, twenty-two".