10021022101002 has 64 divisors (see below), whose sum is σ = 22100406768000. Its totient is φ = 3003936122880.

The previous prime is 10021022100997. The next prime is 10021022101007. The reversal of 10021022101002 is 20010122012001.

10021022101002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021022100997) and next prime (10021022101007).

It is not an unprimeable number, because it can be changed into a prime (10021022101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3309874 + ... + 5567522.

It is an arithmetic number, because the mean of its divisors is an integer number (345318855750).

Almost surely, 2^{10021022101002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050203384000).

10021022101002 is an abundant number, since it is smaller than the sum of its proper divisors (12079384666998).

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

10021022101002 is a wasteful number, since it uses less digits than its factorization.

10021022101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258391.

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

Adding to 10021022101002 its reverse (20010122012001), we get a palindrome (30031144113003).

The spelling of 10021022101002 in words is "ten trillion, twenty-one billion, twenty-two million, one hundred one thousand, two".