10222100212122 has 48 divisors (see below), whose sum is σ = 22830410982912. Its totient is φ = 3303042196320.

The previous prime is 10222100212097. The next prime is 10222100212127. The reversal of 10222100212122 is 22121200122201.

It is a happy number.

10222100212122 is a `hidden beast` number, since 10 + 222 + 100 + 212 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10222100212095 and 10222100212104.

It is not an unprimeable number, because it can be changed into a prime (10222100212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28137778 + ... + 28498749.

It is an arithmetic number, because the mean of its divisors is an integer number (475633562144).

Almost surely, 2^{10222100212122} is an apocalyptic number.

10222100212122 is an abundant number, since it is smaller than the sum of its proper divisors (12608310770790).

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

10222100212122 is a wasteful number, since it uses less digits than its factorization.

10222100212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56636843 (or 56636840 counting only the distinct ones).

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

Adding to 10222100212122 its reverse (22121200122201), we get a palindrome (32343300334323).

The spelling of 10222100212122 in words is "ten trillion, two hundred twenty-two billion, one hundred million, two hundred twelve thousand, one hundred twenty-two".