100222122212100 has 432 divisors, whose sum is σ = 374836449556800. Its totient is φ = 22905619914240.

The previous prime is 100222122212089. The next prime is 100222122212111. The reversal of 100222122212100 is 1212221222001.

It is a happy number.

100222122212100 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 212 + 221 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100222122212089) and next prime (100222122212111).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1565473891 + ... + 1565537909.

Almost surely, 2^{100222122212100} is an apocalyptic number.

100222122212100 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 100222122212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187418224778400).

100222122212100 is an abundant number, since it is smaller than the sum of its proper divisors (274614327344700).

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

100222122212100 is a wasteful number, since it uses less digits than its factorization.

100222122212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75889 (or 75869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222122212100 its reverse (1212221222001), we get a palindrome (101434343434101).

Subtracting from 100222122212100 its reverse (1212221222001), we obtain a palindrome (99009900990099).

The spelling of 100222122212100 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred".