10212022121121 has 64 divisors (see below), whose sum is σ = 15359984640000. Its totient is φ = 6704502554880.

The previous prime is 10212022121089. The next prime is 10212022121131. The reversal of 10212022121121 is 12112122021201.

10212022121121 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 221 + 211 + 21 = 666.

It is not a de Polignac number, because 10212022121121 - 2⁵ = 10212022121089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212022121094 and 10212022121103.

It is not an unprimeable number, because it can be changed into a prime (10212022121131) 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 63 ways as a sum of consecutive naturals, for example, 1891462780 + ... + 1891468178.

It is an arithmetic number, because the mean of its divisors is an integer number (239999760000).

Almost surely, 2^{10212022121121} is an apocalyptic number.

It is an amenable number.

10212022121121 is a deficient number, since it is larger than the sum of its proper divisors (5147962518879).

10212022121121 is a wasteful number, since it uses less digits than its factorization.

10212022121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7605 counting only the distinct ones).

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

Adding to 10212022121121 its reverse (12112122021201), we get a palindrome (22324144142322).

The spelling of 10212022121121 in words is "ten trillion, two hundred twelve billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".