10022100122100 has 288 divisors, whose sum is σ = 33522620414976. Its totient is φ = 2284740761600.

The previous prime is 10022100122071. The next prime is 10022100122141. The reversal of 10022100122100 is 122100122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66515449 + ... + 66665951.

It is an arithmetic number, because the mean of its divisors is an integer number (116397987552).

Almost surely, 2^{10022100122100} is an apocalyptic number.

10022100122100 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 10022100122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761310207488).

10022100122100 is an abundant number, since it is smaller than the sum of its proper divisors (23500520292876).

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

10022100122100 is a wasteful number, since it uses less digits than its factorization.

10022100122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151735 (or 151728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022100122100 its reverse (122100122001), we get a palindrome (10144200244101).

Subtracting from 10022100122100 its reverse (122100122001), we obtain a palindrome (9900000000099).

The spelling of 10022100122100 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred".