100222011101000 has 128 divisors (see below), whose sum is σ = 236433551477760. Its totient is φ = 39762654624000.

The previous prime is 100222011100999. The next prime is 100222011101057. The reversal of 100222011101000 is 101110222001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76672910 + ... + 77969090.

It is an arithmetic number, because the mean of its divisors is an integer number (1847137120920).

Almost surely, 2^{100222011101000} is an apocalyptic number.

100222011101000 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 100222011101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118216775738880).

100222011101000 is an abundant number, since it is smaller than the sum of its proper divisors (136211540376760).

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

100222011101000 is a wasteful number, since it uses less digits than its factorization.

100222011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296832 (or 1296818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100222011101000 its reverse (101110222001), we get a palindrome (100323121323001).

The spelling of 100222011101000 in words is "one hundred trillion, two hundred twenty-two billion, eleven million, one hundred one thousand".