2122112110001 has 8 divisors (see below), whose sum is σ = 2308911829224. Its totient is φ = 1938678151680.

The previous prime is 2122112109977. The next prime is 2122112110009. The reversal of 2122112110001 is 1000112112212.

It can be written as a sum of positive squares in 4 ways, for example, as 477203258401 + 1644908851600 = 690799^2 + 1282540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122112110001 - 2³⁸ = 1847234203057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122112110009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841438910 + ... + 841441431.

It is an arithmetic number, because the mean of its divisors is an integer number (288613978653).

Almost surely, 2^{2122112110001} is an apocalyptic number.

It is an amenable number.

2122112110001 is a deficient number, since it is larger than the sum of its proper divisors (186799719223).

2122112110001 is a wasteful number, since it uses less digits than its factorization.

2122112110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682880451.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2122112110001 its reverse (1000112112212), we get a palindrome (3122224222213).

The spelling of 2122112110001 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, one".