10212112102121 has 16 divisors (see below), whose sum is σ = 10435829952000. Its totient is φ = 9991088640000.

The previous prime is 10212112102111. The next prime is 10212112102133. The reversal of 10212112102121 is 12120121121201.

It is a cyclic number.

It is not a de Polignac number, because 10212112102121 - 2⁶ = 10212112102057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10212112102121.

It is not an unprimeable number, because it can be changed into a prime (10212112102111) 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, 3716105 + ... + 5850953.

It is an arithmetic number, because the mean of its divisors is an integer number (652239372000).

Almost surely, 2^{10212112102121} is an apocalyptic number.

It is an amenable number.

10212112102121 is a deficient number, since it is larger than the sum of its proper divisors (223717849879).

10212112102121 is a wasteful number, since it uses less digits than its factorization.

10212112102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135480.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10212112102121 its reverse (12120121121201), we get a palindrome (22332233223322).

The spelling of 10212112102121 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".