42221660100 has 144 divisors (see below), whose sum is σ = 124545653568. Its totient is φ = 11041372160.

The previous prime is 42221660087. The next prime is 42221660137. The reversal of 42221660100 is 106612224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3405112 + ... + 3417488.

It is an arithmetic number, because the mean of its divisors is an integer number (864900372).

Almost surely, 2^42221660100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272826784).

42221660100 is an abundant number, since it is smaller than the sum of its proper divisors (82323993468).

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

42221660100 is a wasteful number, since it uses less digits than its factorization.

42221660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 42221660100 in words is "forty-two billion, two hundred twenty-one million, six hundred sixty thousand, one hundred".