1002111001122 has 64 divisors (see below), whose sum is σ = 2498877692928. Its totient is φ = 260277384000.

The previous prime is 1002111001097. The next prime is 1002111001147. The reversal of 1002111001122 is 2211001112001.

It is an interprime number because it is at equal distance from previous prime (1002111001097) and next prime (1002111001147).

It is a super-3 number, since 3×1002111001122³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002111001098 and 1002111001107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20590597 + ... + 20639207.

It is an arithmetic number, because the mean of its divisors is an integer number (39044963952).

Almost surely, 2^{1002111001122} is an apocalyptic number.

1002111001122 is an abundant number, since it is smaller than the sum of its proper divisors (1496766691806).

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

1002111001122 is a wasteful number, since it uses less digits than its factorization.

1002111001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93255.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002111001122 its reverse (2211001112001), we get a palindrome (3213112113123).

The spelling of 1002111001122 in words is "one trillion, two billion, one hundred eleven million, one thousand, one hundred twenty-two".