10222313100 has 72 divisors (see below), whose sum is σ = 29641675728. Its totient is φ = 2719948800.

The previous prime is 10222313099. The next prime is 10222313107. The reversal of 10222313100 is 131322201.

It is a super-2 number, since 2×10222313100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222313100.

It is not an unprimeable number, because it can be changed into a prime (10222313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99820 + ... + 174380.

Almost surely, 2^10222313100 is an apocalyptic number.

10222313100 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 10222313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820837864).

10222313100 is an abundant number, since it is smaller than the sum of its proper divisors (19419362628).

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

10222313100 is a wasteful number, since it uses less digits than its factorization.

10222313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75035 (or 75028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10222313100 its reverse (131322201), we get a palindrome (10353635301).

The spelling of 10222313100 in words is "ten billion, two hundred twenty-two million, three hundred thirteen thousand, one hundred".