101411013104 has 80 divisors (see below), whose sum is σ = 218876678496. Its totient is φ = 45300326400.

The previous prime is 101411013097. The next prime is 101411013107. The reversal of 101411013104 is 401310114101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289739 + ... + 535509.

Almost surely, 2^101411013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101411013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109438339248).

101411013104 is an abundant number, since it is smaller than the sum of its proper divisors (117465665392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101411013104 is a wasteful number, since it uses less digits than its factorization.

101411013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245874 (or 245868 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101411013104 its reverse (401310114101), we get a palindrome (502721127205).

The spelling of 101411013104 in words is "one hundred one billion, four hundred eleven million, thirteen thousand, one hundred four".