3900172126801 has 2 divisors, whose sum is σ = 3900172126802. Its totient is φ = 3900172126800.

The previous prime is 3900172126777. The next prime is 3900172126813. The reversal of 3900172126801 is 1086212710093.

3900172126801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2886767504401 + 1013404622400 = 1699049^2 + 1006680^2 .

It is a cyclic number.

It is not a de Polignac number, because 3900172126801 - 2⁵ = 3900172126769 is a prime.

It is a super-2 number, since 2×3900172126801² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3900172126601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1950086063400 + 1950086063401.

It is an arithmetic number, because the mean of its divisors is an integer number (1950086063401).

Almost surely, 2^{3900172126801} is an apocalyptic number.

It is an amenable number.

3900172126801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3900172126801 is an equidigital number, since it uses as much as digits as its factorization.

3900172126801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 40.

Adding to 3900172126801 its reverse (1086212710093), we get a palindrome (4986384836894).

The spelling of 3900172126801 in words is "three trillion, nine hundred billion, one hundred seventy-two million, one hundred twenty-six thousand, eight hundred one".