21101002000 has 240 divisors, whose sum is σ = 55733004288. Its totient is φ = 7723123200.

The previous prime is 21101001947. The next prime is 21101002019. The reversal of 21101002000 is 20010112.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55093809 + ... + 55094191.

Almost surely, 2^21101002000 is an apocalyptic number.

21101002000 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 21101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866502144).

21101002000 is an abundant number, since it is smaller than the sum of its proper divisors (34632002288).

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

21101002000 is a wasteful number, since it uses less digits than its factorization.

21101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21101002000 its reverse (20010112), we get a palindrome (21121012112).

The spelling of 21101002000 in words is "twenty-one billion, one hundred one million, two thousand".