101040010104 has 64 divisors (see below), whose sum is σ = 276218513280. Its totient is φ = 30545424000.

The previous prime is 101040010081. The next prime is 101040010117. The reversal of 101040010104 is 401010040101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101040010104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343402 + ... + 565689.

It is an arithmetic number, because the mean of its divisors is an integer number (4315914270).

Almost surely, 2^101040010104 is an apocalyptic number.

It is an amenable number.

101040010104 is an abundant number, since it is smaller than the sum of its proper divisors (175178503176).

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

101040010104 is a wasteful number, since it uses less digits than its factorization.

101040010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909532 (or 909528 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101040010104 its reverse (401010040101), we get a palindrome (502050050205).

It can be divided in two parts, 1010400 and 10104, that multiplied together give a square (10209081600 = 101040²).

The spelling of 101040010104 in words is "one hundred one billion, forty million, ten thousand, one hundred four".