10220222222100 has 216 divisors, whose sum is σ = 34955831662752. Its totient is φ = 2477001081600.

The previous prime is 10220222222099. The next prime is 10220222222107. The reversal of 10220222222100 is 122222202201.

10220222222100 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 222 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220222222107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39500754 + ... + 39758646.

Almost surely, 2^{10220222222100} is an apocalyptic number.

10220222222100 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 10220222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477915831376).

10220222222100 is an abundant number, since it is smaller than the sum of its proper divisors (24735609440652).

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

10220222222100 is a wasteful number, since it uses less digits than its factorization.

10220222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261927 (or 261917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10220222222100 its reverse (122222202201), we get a palindrome (10342444424301).

It can be divided in two parts, 102 and 20222222100, that added together give a palindrome (20222222202).

The spelling of 10220222222100 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".