10012001142 has 64 divisors (see below), whose sum is σ = 23552363520. Its totient is φ = 2797267200.

The previous prime is 10012001137. The next prime is 10012001203. The reversal of 10012001142 is 24110021001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775234 + ... + 788042.

It is an arithmetic number, because the mean of its divisors is an integer number (368005680).

Almost surely, 2^10012001142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012001142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776181760).

10012001142 is an abundant number, since it is smaller than the sum of its proper divisors (13540362378).

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

10012001142 is a wasteful number, since it uses less digits than its factorization.

10012001142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749.

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

Adding to 10012001142 its reverse (24110021001), we get a palindrome (34122022143).

The spelling of 10012001142 in words is "ten billion, twelve million, one thousand, one hundred forty-two".