21101010000000 has 1024 divisors, whose sum is σ = 81041980032000. Its totient is φ = 4764672000000.

The previous prime is 21101009999969. The next prime is 21101010000029. The reversal of 21101010000000 is 1010112.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18689999436 + ... + 18690000564.

It is an arithmetic number, because the mean of its divisors is an integer number (79142558625).

Almost surely, 2^{21101010000000} is an apocalyptic number.

21101010000000 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 21101010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520990016000).

21101010000000 is an abundant number, since it is smaller than the sum of its proper divisors (59940970032000).

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

21101010000000 is an frugal number, since it uses more digits than its factorization.

21101010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1235 counting only the distinct ones).

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

Adding to 21101010000000 its reverse (1010112), we get a palindrome (21101011010112).

The spelling of 21101010000000 in words is "twenty-one trillion, one hundred one billion, ten million", and thus it is an aban number.