100210022100100 has 144 divisors (see below), whose sum is σ = 237593121192000. Its totient is φ = 36383406336000.

The previous prime is 100210022100059. The next prime is 100210022100109. The reversal of 100210022100100 is 1001220012001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100210022100109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3076836616 + ... + 3076869184.

It is an arithmetic number, because the mean of its divisors is an integer number (1649952230500).

Almost surely, 2^{100210022100100} is an apocalyptic number.

100210022100100 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 100210022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118796560596000).

100210022100100 is an abundant number, since it is smaller than the sum of its proper divisors (137383099091900).

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

100210022100100 is a wasteful number, since it uses less digits than its factorization.

100210022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36854 (or 36847 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210022100100 its reverse (1001220012001), we get a palindrome (101211242112101).

The spelling of 100210022100100 in words is "one hundred trillion, two hundred ten billion, twenty-two million, one hundred thousand, one hundred".