1901091182101 has 2 divisors, whose sum is σ = 1901091182102. Its totient is φ = 1901091182100.

The previous prime is 1901091182033. The next prime is 1901091182117. The reversal of 1901091182101 is 1012811901091.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1898197818001 + 2893364100 = 1377751^2 + 53790^2 .

It is a cyclic number.

It is not a de Polignac number, because 1901091182101 - 2²¹ = 1901089084949 is a prime.

It is a super-2 number, since 2×1901091182101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1901091182161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 950545591050 + 950545591051.

It is an arithmetic number, because the mean of its divisors is an integer number (950545591051).

Almost surely, 2^{1901091182101} is an apocalyptic number.

It is an amenable number.

1901091182101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1901091182101 is an equidigital number, since it uses as much as digits as its factorization.

1901091182101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 34.

The spelling of 1901091182101 in words is "one trillion, nine hundred one billion, ninety-one million, one hundred eighty-two thousand, one hundred one".