21111002010000 has 300 divisors, whose sum is σ = 84375114970432. Its totient is φ = 4825371744000.

The previous prime is 21111002009983. The next prime is 21111002010017. The reversal of 21111002010000 is 1020011112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21111002009983) and next prime (21111002010017).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

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 59 ways as a sum of consecutive naturals, for example, 16124764 + ... + 17384763.

Almost surely, 2^{21111002010000} is an apocalyptic number.

21111002010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111002010000 is an abundant number, since it is smaller than the sum of its proper divisors (63264112960432).

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

21111002010000 is a wasteful number, since it uses less digits than its factorization.

21111002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33509568 (or 33509544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21111002010000 its reverse (1020011112), we get a palindrome (21112022021112).

The spelling of 21111002010000 in words is "twenty-one trillion, one hundred eleven billion, two million, ten thousand".