21121102010112 has 144 divisors (see below), whose sum is σ = 60539658996768. Its totient is φ = 6498515681280.

The previous prime is 21121102010089. The next prime is 21121102010137. The reversal of 21121102010112 is 21101020112112.

It is a happy number.

It is a super-2 number, since 2×21121102010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121102010091 and 21121102010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403656912 + ... + 403709232.

Almost surely, 2^{21121102010112} is an apocalyptic number.

It is an amenable number.

21121102010112 is an abundant number, since it is smaller than the sum of its proper divisors (39418556986656).

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

21121102010112 is a wasteful number, since it uses less digits than its factorization.

21121102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92786 (or 92772 counting only the distinct ones).

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

Adding to 21121102010112 its reverse (21101020112112), we get a palindrome (42222122122224).

The spelling of 21121102010112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, ten thousand, one hundred twelve".