3801175461101 has 2 divisors, whose sum is σ = 3801175461102. Its totient is φ = 3801175461100.

The previous prime is 3801175461067. The next prime is 3801175461113. The reversal of 3801175461101 is 1011645711083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2556832980100 + 1244342481001 = 1599010^2 + 1115501^2 .

It is a cyclic number.

It is not a de Polignac number, because 3801175461101 - 2²² = 3801171266797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3801175461131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1900587730550 + 1900587730551.

It is an arithmetic number, because the mean of its divisors is an integer number (1900587730551).

Almost surely, 2^{3801175461101} is an apocalyptic number.

It is an amenable number.

3801175461101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3801175461101 is an equidigital number, since it uses as much as digits as its factorization.

3801175461101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 3801175461101 in words is "three trillion, eight hundred one billion, one hundred seventy-five million, four hundred sixty-one thousand, one hundred one".