101477824844081 has 32 divisors (see below), whose sum is σ = 121702938777600. Its totient is φ = 82728977063040.

The previous prime is 101477824843973. The next prime is 101477824844101. The reversal of 101477824844081 is 180448428774101.

It is a de Polignac number, because none of the positive numbers 2^k-101477824844081 is a prime.

It is a super-2 number, since 2×101477824844081² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101477824844081.

It is not an unprimeable number, because it can be changed into a prime (101477824846081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17685125 + ... + 22709453.

It is an arithmetic number, because the mean of its divisors is an integer number (3803216836800).

Almost surely, 2^{101477824844081} is an apocalyptic number.

It is an amenable number.

101477824844081 is a deficient number, since it is larger than the sum of its proper divisors (20225113933519).

101477824844081 is a wasteful number, since it uses less digits than its factorization.

101477824844081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025069.

The product of its (nonzero) digits is 12845056, while the sum is 59.

The spelling of 101477824844081 in words is "one hundred one trillion, four hundred seventy-seven billion, eight hundred twenty-four million, eight hundred forty-four thousand, eighty-one".