21211110102000 has 960 divisors, whose sum is σ = 87984598875264. Its totient is φ = 4354327756800.

The previous prime is 21211110101977. The next prime is 21211110102023. The reversal of 21211110102000 is 20101111212.

It is an interprime number because it is at equal distance from previous prime (21211110101977) and next prime (21211110102023).

It is a super-2 number, since 2×21211110102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 141339004 + ... + 141488996.

Almost surely, 2^{21211110102000} is an apocalyptic number.

21211110102000 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 21211110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43992299437632).

21211110102000 is an abundant number, since it is smaller than the sum of its proper divisors (66773488773264).

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

21211110102000 is a wasteful number, since it uses less digits than its factorization.

21211110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150083 (or 150060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211110102000 its reverse (20101111212), we get a palindrome (21231211213212).

The spelling of 21211110102000 in words is "twenty-one trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand".