10121210111112 has 32 divisors (see below), whose sum is σ = 25306126248480. Its totient is φ = 3373323240960.

The previous prime is 10121210111099. The next prime is 10121210111137. The reversal of 10121210111112 is 21111101212101.

It is a super-4 number, since 4×10121210111112⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10121210111091 and 10121210111100.

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, 25641478 + ... + 26033205.

It is an arithmetic number, because the mean of its divisors is an integer number (790816445265).

Almost surely, 2^{10121210111112} is an apocalyptic number.

10121210111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121210111112 is an abundant number, since it is smaller than the sum of its proper divisors (15184916137368).

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

10121210111112 is a wasteful number, since it uses less digits than its factorization.

10121210111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51682853 (or 51682849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10121210111112 its reverse (21111101212101), we get a palindrome (31232311323213).

The spelling of 10121210111112 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, one hundred eleven thousand, one hundred twelve".