2101122211037 has 2 divisors, whose sum is σ = 2101122211038. Its totient is φ = 2101122211036.

The previous prime is 2101122210989. The next prime is 2101122211093. The reversal of 2101122211037 is 7301122211012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1607877256441 + 493244954596 = 1268021^2 + 702314^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101122211037 - 2¹⁴ = 2101122194653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101122231037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050561105518 + 1050561105519.

It is an arithmetic number, because the mean of its divisors is an integer number (1050561105519).

Almost surely, 2^{2101122211037} is an apocalyptic number.

It is an amenable number.

2101122211037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101122211037 is an equidigital number, since it uses as much as digits as its factorization.

2101122211037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 2101122211037 its reverse (7301122211012), we get a palindrome (9402244422049).

The spelling of 2101122211037 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, thirty-seven".