10121021012112 has 20 divisors (see below), whose sum is σ = 26145970948080. Its totient is φ = 3373673670688.

The previous prime is 10121021012099. The next prime is 10121021012117. The reversal of 10121021012112 is 21121012012101.

It is a happy number.

10121021012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121021012112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121021012091 and 10121021012100.

It is not an unprimeable number, because it can be changed into a prime (10121021012117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105427302162 + ... + 105427302257.

It is an arithmetic number, because the mean of its divisors is an integer number (1307298547404).

Almost surely, 2^{10121021012112} is an apocalyptic number.

10121021012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121021012112 is an abundant number, since it is smaller than the sum of its proper divisors (16024949935968).

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

10121021012112 is a wasteful number, since it uses less digits than its factorization.

10121021012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210854604430 (or 210854604424 counting only the distinct ones).

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

Adding to 10121021012112 its reverse (21121012012101), we get a palindrome (31242033024213).

The spelling of 10121021012112 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, twelve thousand, one hundred twelve".