100221122011000 has 128 divisors (see below), whose sum is σ = 244514511820800. Its totient is φ = 38401314739200.

The previous prime is 100221122010991. The next prime is 100221122011013. The reversal of 100221122011000 is 110221122001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9922909 + ... + 17288908.

It is an arithmetic number, because the mean of its divisors is an integer number (1910269623600).

Almost surely, 2^{100221122011000} is an apocalyptic number.

100221122011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221122011000 is an abundant number, since it is smaller than the sum of its proper divisors (144293389809800).

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

100221122011000 is a wasteful number, since it uses less digits than its factorization.

100221122011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211994 (or 27211980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221122011000 its reverse (110221122001), we get a palindrome (100331343133001).

It can be divided in two parts, 100221 and 122011000, that added together give a palindrome (122111221).

The spelling of 100221122011000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven thousand".