37202002112101 has 2 divisors, whose sum is σ = 37202002112102. Its totient is φ = 37202002112100.

The previous prime is 37202002112087. The next prime is 37202002112129. The reversal of 37202002112101 is 10121120020273.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37024803209601 + 177198902500 = 6084801^2 + 420950^2 .

It is an emirp because it is prime and its reverse (10121120020273) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37202002112101 - 2¹⁷ = 37202001981029 is a prime.

It is a super-2 number, since 2×37202002112101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37202002112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18601001056050 + 18601001056051.

It is an arithmetic number, because the mean of its divisors is an integer number (18601001056051).

Almost surely, 2^{37202002112101} is an apocalyptic number.

It is an amenable number.

37202002112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

37202002112101 is an equidigital number, since it uses as much as digits as its factorization.

37202002112101 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 22.

Adding to 37202002112101 its reverse (10121120020273), we get a palindrome (47323122132374).

The spelling of 37202002112101 in words is "thirty-seven trillion, two hundred two billion, two million, one hundred twelve thousand, one hundred one".