21101212010112 has 128 divisors (see below), whose sum is σ = 60383322720000. Its totient is φ = 6490348376064.

The previous prime is 21101212010101. The next prime is 21101212010129. The reversal of 21101212010112 is 21101021210112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21101212010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101212010091 and 21101212010100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13164889 + ... + 14680487.

It is an arithmetic number, because the mean of its divisors is an integer number (471744708750).

Almost surely, 2^{21101212010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191661360000).

21101212010112 is an abundant number, since it is smaller than the sum of its proper divisors (39282110709888).

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

21101212010112 is a wasteful number, since it uses less digits than its factorization.

21101212010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518418 (or 1518406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21101212010112 its reverse (21101021210112), we get a palindrome (42202233220224).

The spelling of 21101212010112 in words is "twenty-one trillion, one hundred one billion, two hundred twelve million, ten thousand, one hundred twelve".