100022201010000 has 300 divisors, whose sum is σ = 359245936667332. Its totient is φ = 25951705344000.

The previous prime is 100022201009999. The next prime is 100022201010023. The reversal of 100022201010000 is 10102220001.

It can be written as a sum of positive squares in 10 ways, for example, as 24174056890944 + 75848144119056 = 4916712^2 + 8709084^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11688349 + ... + 18348348.

Almost surely, 2^{100022201010000} is an apocalyptic number.

100022201010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022201010000 is an abundant number, since it is smaller than the sum of its proper divisors (259223735657332).

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

100022201010000 is a wasteful number, since it uses less digits than its factorization.

100022201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30036768 (or 30036744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100022201010000 its reverse (10102220001), we get a palindrome (100032303230001).

The spelling of 100022201010000 in words is "one hundred trillion, twenty-two billion, two hundred one million, ten thousand".