10102021102121 has 16 divisors (see below), whose sum is σ = 10950878394624. Its totient is φ = 9263444883264.

The previous prime is 10102021102087. The next prime is 10102021102139. The reversal of 10102021102121 is 12120112020101.

It is a de Polignac number, because none of the positive numbers 2^k-10102021102121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102021102096 and 10102021102105.

It is not an unprimeable number, because it can be changed into a prime (10102021102421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8467820 + ... + 9586866.

It is an arithmetic number, because the mean of its divisors is an integer number (684429899664).

Almost surely, 2^{10102021102121} is an apocalyptic number.

It is an amenable number.

10102021102121 is a deficient number, since it is larger than the sum of its proper divisors (848857292503).

10102021102121 is a wasteful number, since it uses less digits than its factorization.

10102021102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123640.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102021102121 its reverse (12120112020101), we get a palindrome (22222133122222).

The spelling of 10102021102121 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred two thousand, one hundred twenty-one".