2122112102011 has 24 divisors (see below), whose sum is σ = 2377817006400. Its totient is φ = 1877711604000.

The previous prime is 2122112101987. The next prime is 2122112102039. The reversal of 2122112102011 is 1102012112212.

It is not a de Polignac number, because 2122112102011 - 2¹⁹ = 2122111577723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122112103011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6460180 + ... + 6780718.

It is an arithmetic number, because the mean of its divisors is an integer number (99075708600).

Almost surely, 2^{2122112102011} is an apocalyptic number.

2122112102011 is a deficient number, since it is larger than the sum of its proper divisors (255704904389).

2122112102011 is a wasteful number, since it uses less digits than its factorization.

2122112102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320811 (or 320710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122112102011 its reverse (1102012112212), we get a palindrome (3224124214223).

The spelling of 2122112102011 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, eleven".