10021002101022 has 96 divisors (see below), whose sum is σ = 22067345210400. Its totient is φ = 3031474913280.

The previous prime is 10021002101003. The next prime is 10021002101041. The reversal of 10021002101022 is 22010120012001.

It is an interprime number because it is at equal distance from previous prime (10021002101003) and next prime (10021002101041).

It is a junction number, because it is equal to n+sod(n) for n = 10021002100989 and 10021002101007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154888148 + ... + 1154896824.

It is an arithmetic number, because the mean of its divisors is an integer number (229868179275).

Almost surely, 2^{10021002101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021002101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033672605200).

10021002101022 is an abundant number, since it is smaller than the sum of its proper divisors (12046343109378).

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

10021002101022 is a wasteful number, since it uses less digits than its factorization.

10021002101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021002101022 its reverse (22010120012001), we get a palindrome (32031122113023).

The spelling of 10021002101022 in words is "ten trillion, twenty-one billion, two million, one hundred one thousand, twenty-two".