21200011000212 has 96 divisors (see below), whose sum is σ = 55970877158784. Its totient is φ = 6188730048000.

The previous prime is 21200011000199. The next prime is 21200011000241.

21200011000212 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 20995363 + ... + 21981930.

It is an arithmetic number, because the mean of its divisors is an integer number (583029970404).

Almost surely, 2^{21200011000212} is an apocalyptic number.

21200011000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21200011000212 is an abundant number, since it is smaller than the sum of its proper divisors (34770866158572).

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

21200011000212 is a wasteful number, since it uses less digits than its factorization.

21200011000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42977449 (or 42977447 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2120001 and 1000212, that added together give a palindrome (3120213).

The spelling of 21200011000212 in words is "twenty-one trillion, two hundred billion, eleven million, two hundred twelve", and thus it is an aban number.