10022000022100 has 72 divisors (see below), whose sum is σ = 23736180662208. Its totient is φ = 3642616588800.

The previous prime is 10022000022061. The next prime is 10022000022109. The reversal of 10022000022100 is 122000022001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022000022109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112924 + ... + 4478476.

It is an arithmetic number, because the mean of its divisors is an integer number (329669175864).

Almost surely, 2^{10022000022100} is an apocalyptic number.

10022000022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868090331104).

10022000022100 is an abundant number, since it is smaller than the sum of its proper divisors (13714180640108).

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

10022000022100 is a wasteful number, since it uses less digits than its factorization.

10022000022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367665 (or 4367658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022000022100 its reverse (122000022001), we get a palindrome (10144000044101).

Subtracting from 10022000022100 its reverse (122000022001), we obtain a palindrome (9900000000099).

The spelling of 10022000022100 in words is "ten trillion, twenty-two billion, twenty-two thousand, one hundred".