10022101002 has 56 divisors (see below), whose sum is σ = 22824987840. Its totient is φ = 3298375080.

The previous prime is 10022100971. The next prime is 10022101007. The reversal of 10022101002 is 20010122001.

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

It is not an unprimeable number, because it can be changed into a prime (10022101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 71677 + ... + 158687.

Almost surely, 2^10022101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412493920).

10022101002 is an abundant number, since it is smaller than the sum of its proper divisors (12802886838).

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

10022101002 is an frugal number, since it uses more digits than its factorization.

10022101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87110 (or 87095 counting only the distinct ones).

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

Adding to 10022101002 its reverse (20010122001), we get a palindrome (30032223003).

The spelling of 10022101002 in words is "ten billion, twenty-two million, one hundred one thousand, two".