10212122121201 has 576 divisors, whose sum is σ = 21848755428864. Its totient is φ = 4453674762240.

The previous prime is 10212122121199. The next prime is 10212122121353.

10212122121201 is a `hidden beast` number, since 10 + 212 + 1 + 221 + 21 + 201 = 666.

10212122121201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10212122121201 - 2¹ = 10212122121199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212122121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10783655410 + ... + 10783656356.

It is an arithmetic number, because the mean of its divisors is an integer number (37931867064).

Almost surely, 2^{10212122121201} is an apocalyptic number.

10212122121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212122121201 is an abundant number, since it is smaller than the sum of its proper divisors (11636633307663).

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

10212122121201 is a wasteful number, since it uses less digits than its factorization.

10212122121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

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

It can be divided in two parts, 1021212 and 2121201, that added together give a palindrome (3142413).

The spelling of 10212122121201 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".