10212122121012 has 144 divisors (see below), whose sum is σ = 29661361766400. Its totient is φ = 2901968410176.

The previous prime is 10212122121011. The next prime is 10212122121043. The reversal of 10212122121012 is 21012122121201.

10212122121012 is a `hidden beast` number, since 10 + 212 + 1 + 221 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212122121011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134709783 + ... + 134785569.

Almost surely, 2^{10212122121012} is an apocalyptic number.

10212122121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212122121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830680883200).

10212122121012 is an abundant number, since it is smaller than the sum of its proper divisors (19449239645388).

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

10212122121012 is a wasteful number, since it uses less digits than its factorization.

10212122121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78690 (or 78685 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10212122121012 its reverse (21012122121201), we get a palindrome (31224244242213).

The spelling of 10212122121012 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".