10122121000212 has 48 divisors (see below), whose sum is σ = 25605778531200. Its totient is φ = 3093596085888.

The previous prime is 10122121000031. The next prime is 10122121000219. The reversal of 10122121000212 is 21200012122101.

10122121000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10122121000191 and 10122121000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122121000219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217712968 + ... + 217759455.

It is an arithmetic number, because the mean of its divisors is an integer number (533453719400).

Almost surely, 2^{10122121000212} is an apocalyptic number.

10122121000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122121000212 is an abundant number, since it is smaller than the sum of its proper divisors (15483657530988).

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

10122121000212 is a wasteful number, since it uses less digits than its factorization.

10122121000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435472592 (or 435472590 counting only the distinct ones).

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

Adding to 10122121000212 its reverse (21200012122101), we get a palindrome (31322133122313).

The spelling of 10122121000212 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.