21100101000000 has 1176 divisors, whose sum is σ = 78827176624224. Its totient is φ = 4973760000000.

The previous prime is 21100100999969. The next prime is 21100101000007. The reversal of 21100101000000 is 10100112.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100101000007) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13430999215 + ... + 13431000785.

Almost surely, 2^{21100101000000} is an apocalyptic number.

21100101000000 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 21100101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39413588312112).

21100101000000 is an abundant number, since it is smaller than the sum of its proper divisors (57727075624224).

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

21100101000000 is an equidigital number, since it uses as much as digits as its factorization.

21100101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21100101000000 its reverse (10100112), we get a palindrome (21100111100112).

The spelling of 21100101000000 in words is "twenty-one trillion, one hundred billion, one hundred one million", and thus it is an aban number.