10211021020121 has 8 divisors (see below), whose sum is σ = 10312288648200. Its totient is φ = 10109756694400.

The previous prime is 10211021020091. The next prime is 10211021020169. The reversal of 10211021020121 is 12102012011201.

It can be written as a sum of positive squares in 4 ways, for example, as 2674650910096 + 7536370110025 = 1635436^2 + 2745245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211021020121 - 2¹⁴ = 10211021003737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211021020096 and 10211021020105.

It is not an unprimeable number, because it can be changed into a prime (10211021020021) 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 7 ways as a sum of consecutive naturals, for example, 5638895 + ... + 7226283.

It is an arithmetic number, because the mean of its divisors is an integer number (1289036081025).

Almost surely, 2^{10211021020121} is an apocalyptic number.

It is an amenable number.

10211021020121 is a deficient number, since it is larger than the sum of its proper divisors (101267628079).

10211021020121 is a wasteful number, since it uses less digits than its factorization.

10211021020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651179.

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

Adding to 10211021020121 its reverse (12102012011201), we get a palindrome (22313033031322).

The spelling of 10211021020121 in words is "ten trillion, two hundred eleven billion, twenty-one million, twenty thousand, one hundred twenty-one".