100213442142440 has 192 divisors, whose sum is σ = 265019106880080. Its totient is φ = 33958065152000.

The previous prime is 100213442142427. The next prime is 100213442142467. The reversal of 100213442142440 is 44241244312001.

It can be written as a sum of positive squares in 8 ways, for example, as 47914886955364 + 52298555187076 = 6922058^2 + 7231774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100213442142397 and 100213442142406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280794 + ... + 14339766.

Almost surely, 2^{100213442142440} is an apocalyptic number.

100213442142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100213442142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132509553440040).

100213442142440 is an abundant number, since it is smaller than the sum of its proper divisors (164805664737640).

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

100213442142440 is a wasteful number, since it uses less digits than its factorization.

100213442142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12059124 (or 12059109 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 100213442142440 its reverse (44241244312001), we get a palindrome (144454686454441).

The spelling of 100213442142440 in words is "one hundred trillion, two hundred thirteen billion, four hundred forty-two million, one hundred forty-two thousand, four hundred forty".