21101211210112 has 64 divisors (see below), whose sum is σ = 45860650113600. Its totient is φ = 9591149324800.

The previous prime is 21101211210077. The next prime is 21101211210133.

21101211210112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21101211210112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46490187 + ... + 46941877.

It is an arithmetic number, because the mean of its divisors is an integer number (716572658025).

Almost surely, 2^{21101211210112} is an apocalyptic number.

21101211210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21101211210112 is an abundant number, since it is smaller than the sum of its proper divisors (24759438903488).

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

21101211210112 is a wasteful number, since it uses less digits than its factorization.

21101211210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484895 (or 484883 counting only the distinct ones).

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

It can be divided in two parts, 2110121 and 1210112, that added together give a palindrome (3320233).

The spelling of 21101211210112 in words is "twenty-one trillion, one hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".