2122110000101 has 12 divisors (see below), whose sum is σ = 2658467473452. Its totient is φ = 1679032087488.

The previous prime is 2122110000089. The next prime is 2122110000113. The reversal of 2122110000101 is 1010000112212.

It is an interprime number because it is at equal distance from previous prime (2122110000089) and next prime (2122110000113).

It can be written as a sum of positive squares in 2 ways, for example, as 959165596900 + 1162944403201 = 979370^2 + 1078399^2 .

It is not a de Polignac number, because 2122110000101 - 2¹⁰ = 2122109999077 is a prime.

It is a super-3 number, since 3×2122110000101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122110000121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665705800 + ... + 1665707073.

It is an arithmetic number, because the mean of its divisors is an integer number (221538956121).

Almost surely, 2^{2122110000101} is an apocalyptic number.

It is an amenable number.

2122110000101 is a deficient number, since it is larger than the sum of its proper divisors (536357473351).

2122110000101 is a wasteful number, since it uses less digits than its factorization.

2122110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331412900 (or 3331412893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2122110000101 its reverse (1010000112212), we get a palindrome (3132110112313).

The spelling of 2122110000101 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, one hundred one", and thus it is an aban number.