10121022002112 has 56 divisors (see below), whose sum is σ = 30604042724736. Its totient is φ = 2891720571648.

The previous prime is 10121022002111. The next prime is 10121022002129. The reversal of 10121022002112 is 21120022012101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10121022002091 and 10121022002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121022002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3765259818 + ... + 3765262505.

Almost surely, 2^{10121022002112} is an apocalyptic number.

10121022002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121022002112 is an abundant number, since it is smaller than the sum of its proper divisors (20483020722624).

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

10121022002112 is an equidigital number, since it uses as much as digits as its factorization.

10121022002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530522345 (or 7530522335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10121022002112 its reverse (21120022012101), we get a palindrome (31241044014213).

The spelling of 10121022002112 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, two thousand, one hundred twelve".