211001100096 has 112 divisors (see below), whose sum is σ = 569059064064. Its totient is φ = 68976101376.

The previous prime is 211001100091. The next prime is 211001100097. The reversal of 211001100096 is 690001100112.

It is a super-2 number, since 2×211001100096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40833705 + ... + 40838871.

Almost surely, 2^211001100096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284529532032).

211001100096 is an abundant number, since it is smaller than the sum of its proper divisors (358057963968).

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

211001100096 is a wasteful number, since it uses less digits than its factorization.

211001100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 211001100096 in words is "two hundred eleven billion, one million, one hundred thousand, ninety-six".