2102011022001 has 16 divisors (see below), whose sum is σ = 3085520771520. Its totient is φ = 1262258493120.

The previous prime is 2102011021997. The next prime is 2102011022029. The reversal of 2102011022001 is 1002201102012.

It is not a de Polignac number, because 2102011022001 - 2² = 2102011021997 is a prime.

It is a super-2 number, since 2×2102011022001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102011022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292185870 + ... + 292193063.

It is an arithmetic number, because the mean of its divisors is an integer number (192845048220).

Almost surely, 2^{2102011022001} is an apocalyptic number.

It is an amenable number.

2102011022001 is a deficient number, since it is larger than the sum of its proper divisors (983509749519).

2102011022001 is a wasteful number, since it uses less digits than its factorization.

2102011022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584379056.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102011022001 its reverse (1002201102012), we get a palindrome (3104212124013).

The spelling of 2102011022001 in words is "two trillion, one hundred two billion, eleven million, twenty-two thousand, one".