10000100100037 has 2 divisors, whose sum is σ = 10000100100038. Its totient is φ = 10000100100036.

The previous prime is 10000100099981. The next prime is 10000100100071. The reversal of 10000100100037 is 73000100100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9261851402241 + 738248697796 = 3043329^2 + 859214^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000100100037 - 2¹¹ = 10000100097989 is a prime.

It is a super-3 number, since 3×10000100100037³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000100109037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050050018 + 5000050050019.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050050019).

Almost surely, 2^{10000100100037} is an apocalyptic number.

It is an amenable number.

10000100100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100100037 is an equidigital number, since it uses as much as digits as its factorization.

10000100100037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 13.

Adding to 10000100100037 its reverse (73000100100001), we get a palindrome (83000200200038).

The spelling of 10000100100037 in words is "ten trillion, one hundred million, one hundred thousand, thirty-seven".