10122021222100 has 72 divisors (see below), whose sum is σ = 22180600420160. Its totient is φ = 4009036135680.

The previous prime is 10122021222097. The next prime is 10122021222101. The reversal of 10122021222100 is 122212022101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122021222101) 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, 97107811 + ... + 97211989.

Almost surely, 2^{10122021222100} is an apocalyptic number.

10122021222100 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 10122021222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090300210080).

10122021222100 is an abundant number, since it is smaller than the sum of its proper divisors (12058579198060).

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

10122021222100 is a wasteful number, since it uses less digits than its factorization.

10122021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113729 (or 113722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122021222100 its reverse (122212022101), we get a palindrome (10244233244201).

The spelling of 10122021222100 in words is "ten trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-two thousand, one hundred".