21101102002000 has 320 divisors, whose sum is σ = 51876441534528. Its totient is φ = 8300544000000.

The previous prime is 21101102001923. The next prime is 21101102002031. The reversal of 21101102002000 is 20020110112.

It can be written as a sum of positive squares in 32 ways, for example, as 17422209216064 + 3678892785936 = 4173992^2 + 1918044^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27297673614 + ... + 27297674386.

Almost surely, 2^{21101102002000} is an apocalyptic number.

21101102002000 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 21101102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938220767264).

21101102002000 is an abundant number, since it is smaller than the sum of its proper divisors (30775339532528).

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

21101102002000 is a wasteful number, since it uses less digits than its factorization.

21101102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21101102002000 its reverse (20020110112), we get a palindrome (21121122112112).

The spelling of 21101102002000 in words is "twenty-one trillion, one hundred one billion, one hundred two million, two thousand".