2120100102221 has 8 divisors (see below), whose sum is σ = 2150440959000. Its totient is φ = 2089942574400.

The previous prime is 2120100102167. The next prime is 2120100102277. The reversal of 2120100102221 is 1222010010212.

It can be written as a sum of positive squares in 4 ways, for example, as 721531324900 + 1398568777321 = 849430^2 + 1182611^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120100102221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120100102196 and 2120100102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100402221) 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, 45808946 + ... + 45855203.

It is an arithmetic number, because the mean of its divisors is an integer number (268805119875).

Almost surely, 2^{2120100102221} is an apocalyptic number.

It is an amenable number.

2120100102221 is a deficient number, since it is larger than the sum of its proper divisors (30340856779).

2120100102221 is a wasteful number, since it uses less digits than its factorization.

2120100102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91664479.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120100102221 its reverse (1222010010212), we get a palindrome (3342110112433).

The spelling of 2120100102221 in words is "two trillion, one hundred twenty billion, one hundred million, one hundred two thousand, two hundred twenty-one".