10010112121404 has 144 divisors (see below), whose sum is σ = 26670070103040. Its totient is φ = 3159417571200.

The previous prime is 10010112121403. The next prime is 10010112121409. The reversal of 10010112121404 is 40412121101001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010112121403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648861939 + ... + 648877365.

It is an arithmetic number, because the mean of its divisors is an integer number (185208820160).

Almost surely, 2^{10010112121404} 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 10010112121404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335035051520).

10010112121404 is an abundant number, since it is smaller than the sum of its proper divisors (16659957981636).

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

10010112121404 is a wasteful number, since it uses less digits than its factorization.

10010112121404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23320 (or 23315 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10010112121404 its reverse (40412121101001), we get a palindrome (50422233222405).

The spelling of 10010112121404 in words is "ten trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, four hundred four".