10222122021100 has 72 divisors (see below), whose sum is σ = 24199074160128. Its totient is φ = 3717054868800.

The previous prime is 10222122021073. The next prime is 10222122021101. The reversal of 10222122021100 is 112022122201.

It is a happy number.

It is a super-2 number, since 2×10222122021100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222122021101) 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, 79187209 + ... + 79316191.

It is an arithmetic number, because the mean of its divisors is an integer number (336098252224).

Almost surely, 2^{10222122021100} is an apocalyptic number.

10222122021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222122021100 is an abundant number, since it is smaller than the sum of its proper divisors (13976952139028).

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

10222122021100 is a wasteful number, since it uses less digits than its factorization.

10222122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201055 (or 201048 counting only the distinct ones).

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

Adding to 10222122021100 its reverse (112022122201), we get a palindrome (10334144143301).

The spelling of 10222122021100 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred".