2120101009937 has 2 divisors, whose sum is σ = 2120101009938. Its totient is φ = 2120101009936.

The previous prime is 2120101009927. The next prime is 2120101010021. The reversal of 2120101009937 is 7399001010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2111429861776 + 8671148161 = 1453076^2 + 93119^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120101009937 - 2³⁴ = 2102921140753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120101009897 and 2120101009906.

It is not a weakly prime, because it can be changed into another prime (2120101009927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060050504968 + 1060050504969.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050504969).

Almost surely, 2^{2120101009937} is an apocalyptic number.

It is an amenable number.

2120101009937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120101009937 is an equidigital number, since it uses as much as digits as its factorization.

2120101009937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 35.

The spelling of 2120101009937 in words is "two trillion, one hundred twenty billion, one hundred one million, nine thousand, nine hundred thirty-seven".