101014001410004 has 6 divisors (see below), whose sum is σ = 176774502467514. Its totient is φ = 50507000705000.

The previous prime is 101014001410001. The next prime is 101014001410039. The reversal of 101014001410004 is 400014100410101.

It can be written as a sum of positive squares in only one way, i.e., 94675429816900 + 6338571593104 = 9730130^2 + 2517652^2 .

It is a super-2 number, since 2×101014001410004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101014001410001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12626750176247 + ... + 12626750176254.

It is an arithmetic number, because the mean of its divisors is an integer number (29462417077919).

Almost surely, 2^{101014001410004} is an apocalyptic number.

It is an amenable number.

101014001410004 is a deficient number, since it is larger than the sum of its proper divisors (75760501057510).

101014001410004 is a wasteful number, since it uses less digits than its factorization.

101014001410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25253500352505 (or 25253500352503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101014001410004 its reverse (400014100410101), we get a palindrome (501028101820105).

The spelling of 101014001410004 in words is "one hundred one trillion, fourteen billion, one million, four hundred ten thousand, four".