2111011102122 has 32 divisors (see below), whose sum is σ = 4546949826048. Its totient is φ = 649519494336.

The previous prime is 2111011102111. The next prime is 2111011102133. The reversal of 2111011102122 is 2212011101112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2111011102111) and next prime (2111011102133).

It is a super-2 number, since 2×2111011102122² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1887348 + ... + 2790000.

It is an arithmetic number, because the mean of its divisors is an integer number (142092182064).

Almost surely, 2^{2111011102122} is an apocalyptic number.

2111011102122 is an abundant number, since it is smaller than the sum of its proper divisors (2435938723926).

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

2111011102122 is a wasteful number, since it uses less digits than its factorization.

2111011102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932654.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111011102122 its reverse (2212011101112), we get a palindrome (4323022203234).

The spelling of 2111011102122 in words is "two trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred twenty-two".