10001001000042 has 32 divisors (see below), whose sum is σ = 23934019488960. Its totient is φ = 3077231076720.

The previous prime is 10001000999953. The next prime is 10001001000043. The reversal of 10001001000042 is 24000010010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001000999988 and 10001001000033.

It is not an unprimeable number, because it can be changed into a prime (10001001000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7123219384 + ... + 7123220787.

It is an arithmetic number, because the mean of its divisors is an integer number (747938109030).

Almost surely, 2^{10001001000042} is an apocalyptic number.

10001001000042 is an abundant number, since it is smaller than the sum of its proper divisors (13933018488918).

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

10001001000042 is a wasteful number, since it uses less digits than its factorization.

10001001000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246440195 (or 14246440189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001001000042 its reverse (24000010010001), we get a palindrome (34001011010043).

The spelling of 10001001000042 in words is "ten trillion, one billion, one million, forty-two", and thus it is an aban number and an uban number.