100042221040 has 160 divisors (see below), whose sum is σ = 248677387200. Its totient is φ = 37361049600.

The previous prime is 100042221031. The next prime is 100042221049. The reversal of 100042221040 is 40122240001.

It is an interprime number because it is at equal distance from previous prime (100042221031) and next prime (100042221049).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042221049) 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, 10070796 + ... + 10080724.

It is an arithmetic number, because the mean of its divisors is an integer number (1554233670).

Almost surely, 2^100042221040 is an apocalyptic number.

100042221040 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 100042221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124338693600).

100042221040 is an abundant number, since it is smaller than the sum of its proper divisors (148635166160).

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

100042221040 is a wasteful number, since it uses less digits than its factorization.

100042221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100042221040 its reverse (40122240001), we get a palindrome (140164461041).

The spelling of 100042221040 in words is "one hundred billion, forty-two million, two hundred twenty-one thousand, forty".