2101120022001 has 96 divisors (see below), whose sum is σ = 3860260419456. Its totient is φ = 1007528860800.

The previous prime is 2101120021991. The next prime is 2101120022039. The reversal of 2101120022001 is 1002200211012.

It is not a de Polignac number, because 2101120022001 - 2⁵ = 2101120021969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101120022101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2130511 + ... + 2956571.

It is an arithmetic number, because the mean of its divisors is an integer number (40211046036).

Almost surely, 2^{2101120022001} is an apocalyptic number.

2101120022001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101120022001 is a deficient number, since it is larger than the sum of its proper divisors (1759140397455).

2101120022001 is a wasteful number, since it uses less digits than its factorization.

2101120022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826124 (or 826095 counting only the distinct ones).

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

Adding to 2101120022001 its reverse (1002200211012), we get a palindrome (3103320233013).

The spelling of 2101120022001 in words is "two trillion, one hundred one billion, one hundred twenty million, twenty-two thousand, one".