2220120101957 has 2 divisors, whose sum is σ = 2220120101958. Its totient is φ = 2220120101956.

The previous prime is 2220120101803. The next prime is 2220120101959. The reversal of 2220120101957 is 7591010210222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2218532796676 + 1587305281 = 1489474^2 + 39841^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220120101957 - 2¹² = 2220120097861 is a prime.

It is a super-2 number, since 2×2220120101957² (a number of 25 digits) contains 22 as substring.

Together with 2220120101959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220120101959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110060050978 + 1110060050979.

It is an arithmetic number, because the mean of its divisors is an integer number (1110060050979).

Almost surely, 2^{2220120101957} is an apocalyptic number.

It is an amenable number.

2220120101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220120101957 is an equidigital number, since it uses as much as digits as its factorization.

2220120101957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 2220120101957 in words is "two trillion, two hundred twenty billion, one hundred twenty million, one hundred one thousand, nine hundred fifty-seven".