2001102122011 has 8 divisors (see below), whose sum is σ = 2002100678784. Its totient is φ = 2000103739200.

The previous prime is 2001102121999. The next prime is 2001102122029. The reversal of 2001102122011 is 1102212011002.

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 2001102122011 - 2¹³ = 2001102113819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001102121982 and 2001102122000.

It is not an unprimeable number, because it can be changed into a prime (2001112122011) 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, 27069846 + ... + 27143668.

It is an arithmetic number, because the mean of its divisors is an integer number (250262584848).

Almost surely, 2^{2001102122011} is an apocalyptic number.

2001102122011 is a deficient number, since it is larger than the sum of its proper divisors (998556773).

2001102122011 is a wasteful number, since it uses less digits than its factorization.

2001102122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86981.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001102122011 its reverse (1102212011002), we get a palindrome (3103314133013).

The spelling of 2001102122011 in words is "two trillion, one billion, one hundred two million, one hundred twenty-two thousand, eleven".