100001000221092 has 36 divisors (see below), whose sum is σ = 252781268690860. Its totient is φ = 33333539807232.

The previous prime is 100001000221037. The next prime is 100001000221117. The reversal of 100001000221092 is 290122000100001.

It can be written as a sum of positive squares in 2 ways, for example, as 32344880809536 + 67656119411556 = 5687256^2 + 8225334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4546884 + ... + 14855172.

Almost surely, 2^{100001000221092} is an apocalyptic number.

100001000221092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001000221092 is an abundant number, since it is smaller than the sum of its proper divisors (152780268469768).

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

100001000221092 is a wasteful number, since it uses less digits than its factorization.

100001000221092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10577772 (or 10577767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100001000221092 its reverse (290122000100001), we get a palindrome (390123000321093).

The spelling of 100001000221092 in words is "one hundred trillion, one billion, two hundred twenty-one thousand, ninety-two".