37901100010001 has 2 divisors, whose sum is σ = 37901100010002. Its totient is φ = 37901100010000.

The previous prime is 37901100009991. The next prime is 37901100010003. The reversal of 37901100010001 is 10001000110973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22993933449601 + 14907166560400 = 4795199^2 + 3860980^2 .

It is an emirp because it is prime and its reverse (10001000110973) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37901100010001 - 2¹⁸ = 37901099747857 is a prime.

It is a super-3 number, since 3×37901100010001³ (a number of 42 digits) contains 333 as substring.

Together with 37901100010003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37901100010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18950550005000 + 18950550005001.

It is an arithmetic number, because the mean of its divisors is an integer number (18950550005001).

Almost surely, 2^{37901100010001} is an apocalyptic number.

It is an amenable number.

37901100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37901100010001 is an equidigital number, since it uses as much as digits as its factorization.

37901100010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 23.

Adding to 37901100010001 its reverse (10001000110973), we get a palindrome (47902100120974).

The spelling of 37901100010001 in words is "thirty-seven trillion, nine hundred one billion, one hundred million, ten thousand, one".