10023501104442 has 128 divisors (see below), whose sum is σ = 26978767994880. Its totient is φ = 2692913713920.

The previous prime is 10023501104437. The next prime is 10023501104447. The reversal of 10023501104442 is 24440110532001.

10023501104442 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 501 + 104 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (10023501104437) and next prime (10023501104447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10023501104447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6267567 + ... + 7702557.

It is an arithmetic number, because the mean of its divisors is an integer number (210771624960).

Almost surely, 2^{10023501104442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023501104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489383997440).

10023501104442 is an abundant number, since it is smaller than the sum of its proper divisors (16955266890438).

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

10023501104442 is a wasteful number, since it uses less digits than its factorization.

10023501104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436113 (or 1436107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10023501104442 its reverse (24440110532001), we get a palindrome (34463611636443).

The spelling of 10023501104442 in words is "ten trillion, twenty-three billion, five hundred one million, one hundred four thousand, four hundred forty-two".