21100101000 has 384 divisors, whose sum is σ = 74364151680. Its totient is φ = 4973760000.

The previous prime is 21100100999. The next prime is 21100101007. The reversal of 21100101000 is 10100112.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21100101000.

It is not an unprimeable number, because it can be changed into a prime (21100101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13430215 + ... + 13431785.

It is an arithmetic number, because the mean of its divisors is an integer number (193656645).

Almost surely, 2^21100101000 is an apocalyptic number.

21100101000 is a gapful number since it is divisible by the number (20) 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 21100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37182075840).

21100101000 is an abundant number, since it is smaller than the sum of its proper divisors (53264050680).

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

21100101000 is a wasteful number, since it uses less digits than its factorization.

21100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21100101000 its reverse (10100112), we get a palindrome (21110201112).

The spelling of 21100101000 in words is "twenty-one billion, one hundred million, one hundred one thousand".