101331220400401 has 12 divisors (see below), whose sum is σ = 107643013694928. Its totient is φ = 95370111877952.

The previous prime is 101331220400387. The next prime is 101331220400419. The reversal of 101331220400401 is 104004022133101.

It is not a de Polignac number, because 101331220400401 - 2¹⁹ = 101331219876113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331220400471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71778390 + ... + 73176496.

It is an arithmetic number, because the mean of its divisors is an integer number (8970251141244).

Almost surely, 2^{101331220400401} is an apocalyptic number.

It is an amenable number.

101331220400401 is a deficient number, since it is larger than the sum of its proper divisors (6311793294527).

101331220400401 is a wasteful number, since it uses less digits than its factorization.

101331220400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648928 (or 1648911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101331220400401 its reverse (104004022133101), we get a palindrome (205335242533502).

The spelling of 101331220400401 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred twenty million, four hundred thousand, four hundred one".