1102121122122 has 72 divisors (see below), whose sum is σ = 2474527500900. Its totient is φ = 354502310400.

The previous prime is 1102121122117. The next prime is 1102121122127. The reversal of 1102121122122 is 2212211212011.

It is an interprime number because it is at equal distance from previous prime (1102121122117) and next prime (1102121122127).

It can be written as a sum of positive squares in 2 ways, for example, as 925965477441 + 176155644681 = 962271^2 + 419709^2 .

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 = 1102121122095 and 1102121122104.

It is not an unprimeable number, because it can be changed into a prime (1102121122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5945722 + ... + 6128282.

Almost surely, 2^{1102121122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102121122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237263750450).

1102121122122 is an abundant number, since it is smaller than the sum of its proper divisors (1372406378778).

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

1102121122122 is a wasteful number, since it uses less digits than its factorization.

1102121122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182980 (or 182946 counting only the distinct ones).

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

Adding to 1102121122122 its reverse (2212211212011), we get a palindrome (3314332334133).

The spelling of 1102121122122 in words is "one trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".