21000211101012 has 144 divisors (see below), whose sum is σ = 57887571635712. Its totient is φ = 5873752909440.

The previous prime is 21000211100971. The next prime is 21000211101029. The reversal of 21000211101012 is 21010111200012.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414613473 + ... + 414664119.

It is an arithmetic number, because the mean of its divisors is an integer number (401997025248).

Almost surely, 2^{21000211101012} is an apocalyptic number.

21000211101012 is a gapful number since it is divisible by the number (22) 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 21000211101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943785817856).

21000211101012 is an abundant number, since it is smaller than the sum of its proper divisors (36887360534700).

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

21000211101012 is a wasteful number, since it uses less digits than its factorization.

21000211101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69278 (or 69263 counting only the distinct ones).

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

Adding to 21000211101012 its reverse (21010111200012), we get a palindrome (42010322301024).

The spelling of 21000211101012 in words is "twenty-one trillion, two hundred eleven million, one hundred one thousand, twelve".