10010211000100 has 72 divisors (see below), whose sum is σ = 21968145901800. Its totient is φ = 3958748851200.

The previous prime is 10010211000073. The next prime is 10010211000133. The reversal of 10010211000100 is 100011201001.

It can be written as a sum of positive squares in 12 ways, for example, as 1479453803584 + 8530757196516 = 1216328^2 + 2920746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117695590 + ... + 117780610.

It is an arithmetic number, because the mean of its divisors is an integer number (305113137525).

Almost surely, 2^{10010211000100} is an apocalyptic number.

10010211000100 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 10010211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10984072950900).

10010211000100 is an abundant number, since it is smaller than the sum of its proper divisors (11957934901700).

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

10010211000100 is a wasteful number, since it uses less digits than its factorization.

10010211000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98353 (or 98346 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010211000100 its reverse (100011201001), we get a palindrome (10110222201101).

The spelling of 10010211000100 in words is "ten trillion, ten billion, two hundred eleven million, one hundred", and thus it is an aban number.