10002113211042 has 64 divisors (see below), whose sum is σ = 22471555075200. Its totient is φ = 3297389644800.

The previous prime is 10002113211031. The next prime is 10002113211047. The reversal of 10002113211042 is 24011231120001.

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

It is not an unprimeable number, because it can be changed into a prime (10002113211047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6942334 + ... + 8258342.

It is an arithmetic number, because the mean of its divisors is an integer number (351118048050).

Almost surely, 2^{10002113211042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002113211042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235777537600).

10002113211042 is an abundant number, since it is smaller than the sum of its proper divisors (12469441864158).

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

10002113211042 is a wasteful number, since it uses less digits than its factorization.

10002113211042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317568 (or 1317562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10002113211042 its reverse (24011231120001), we get a palindrome (34013344331043).

The spelling of 10002113211042 in words is "ten trillion, two billion, one hundred thirteen million, two hundred eleven thousand, forty-two".