2102111001021 has 16 divisors (see below), whose sum is σ = 2895544640000. Its totient is φ = 1355114741760.

The previous prime is 2102111000963. The next prime is 2102111001031. The reversal of 2102111001021 is 1201001112012.

It is not a de Polignac number, because 2102111001021 - 2¹⁰ = 2102110999997 is a prime.

It is a super-2 number, since 2×2102111001021² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102111000988 and 2102111001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102111001031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8932420 + ... + 9164733.

It is an arithmetic number, because the mean of its divisors is an integer number (180971540000).

Almost surely, 2^{2102111001021} is an apocalyptic number.

It is an amenable number.

2102111001021 is a deficient number, since it is larger than the sum of its proper divisors (793433638979).

2102111001021 is a wasteful number, since it uses less digits than its factorization.

2102111001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098436.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102111001021 its reverse (1201001112012), we get a palindrome (3303112113033).

The spelling of 2102111001021 in words is "two trillion, one hundred two billion, one hundred eleven million, one thousand, twenty-one".