21000101111000 has 256 divisors, whose sum is σ = 53954178969600. Its totient is φ = 7587157248000.

The previous prime is 21000101110999. The next prime is 21000101111027. The reversal of 21000101111000 is 11110100012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282910816 + ... + 1282927184.

It is an arithmetic number, because the mean of its divisors is an integer number (210758511600).

Almost surely, 2^{21000101111000} is an apocalyptic number.

21000101111000 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 21000101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26977089484800).

21000101111000 is an abundant number, since it is smaller than the sum of its proper divisors (32954077858600).

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

21000101111000 is a wasteful number, since it uses less digits than its factorization.

21000101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21000101111000 its reverse (11110100012), we get a palindrome (21011211211012).

The spelling of 21000101111000 in words is "twenty-one trillion, one hundred one million, one hundred eleven thousand".