101476801 has 2 divisors, whose sum is σ = 101476802. Its totient is φ = 101476800.

The previous prime is 101476751. The next prime is 101476813. The reversal of 101476801 is 108674101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96530625 + 4946176 = 9825^2 + 2224^2 .

It is a cyclic number.

It is not a de Polignac number, because 101476801 - 2⁷ = 101476673 is a prime.

It is a super-2 number, since 2×101476801² = 20595082282387202, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101476801.

It is not a weakly prime, because it can be changed into another prime (101476831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50738400 + 50738401.

It is an arithmetic number, because the mean of its divisors is an integer number (50738401).

Almost surely, 2^101476801 is an apocalyptic number.

It is an amenable number.

101476801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101476801 is an equidigital number, since it uses as much as digits as its factorization.

101476801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 101476801 is about 10073.5694269708. The cubic root of 101476801 is about 466.4326279413.

It can be divided in two parts, 1014 and 76801, that added together give a triangular number (77815 = T₃₉₄).

The spelling of 101476801 in words is "one hundred one million, four hundred seventy-six thousand, eight hundred one".