100916821000 has 64 divisors (see below), whose sum is σ = 236308278960. Its totient is φ = 40338880000.

The previous prime is 100916820971. The next prime is 100916821001. The reversal of 100916821000 is 128619001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4768454916 + 96148366084 = 69054^2 + 310078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100916821000.

It is not an unprimeable number, because it can be changed into a prime (100916821001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446930 + ... + 1515070.

Almost surely, 2^100916821000 is an apocalyptic number.

100916821000 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 100916821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118154139480).

100916821000 is an abundant number, since it is smaller than the sum of its proper divisors (135391457960).

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

100916821000 is a wasteful number, since it uses less digits than its factorization.

100916821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69643 (or 69629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 100916821000 in words is "one hundred billion, nine hundred sixteen million, eight hundred twenty-one thousand".