10121120112222 has 144 divisors (see below), whose sum is σ = 25789863294000. Its totient is φ = 2860012108800.

The previous prime is 10121120112221. The next prime is 10121120112247. The reversal of 10121120112222 is 22221102112101.

10121120112222 is a `hidden beast` number, since 101 + 211 + 20 + 112 + 222 = 666.

It is a super-3 number, since 3×10121120112222³ (a number of 40 digits) contains 333 as substring.

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 = 10121120112195 and 10121120112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120112221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82696029 + ... + 82818327.

It is an arithmetic number, because the mean of its divisors is an integer number (179096272875).

Almost surely, 2^{10121120112222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121120112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894931647000).

10121120112222 is an abundant number, since it is smaller than the sum of its proper divisors (15668743181778).

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

10121120112222 is a wasteful number, since it uses less digits than its factorization.

10121120112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123351 (or 123341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121120112222 its reverse (22221102112101), we get a palindrome (32342222224323).

The spelling of 10121120112222 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-two".