100020444342 has 128 divisors (see below), whose sum is σ = 251882265600. Its totient is φ = 26310412800.

The previous prime is 100020444341. The next prime is 100020444373. The reversal of 100020444342 is 243444020001.

It is a happy number.

It is a super-2 number, since 2×100020444342² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020444341) 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, 10723693 + ... + 10733015.

It is an arithmetic number, because the mean of its divisors is an integer number (1967830200).

Almost surely, 2^100020444342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020444342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125941132800).

100020444342 is an abundant number, since it is smaller than the sum of its proper divisors (151861821258).

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

100020444342 is a wasteful number, since it uses less digits than its factorization.

100020444342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9763 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100020444342 its reverse (243444020001), we get a palindrome (343464464343).

The spelling of 100020444342 in words is "one hundred billion, twenty million, four hundred forty-four thousand, three hundred forty-two".