10102021121011 has 2 divisors, whose sum is σ = 10102021121012. Its totient is φ = 10102021121010.

The previous prime is 10102021120957. The next prime is 10102021121033. The reversal of 10102021121011 is 11012112020101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (11012112020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102021121011 - 2¹¹ = 10102021118963 is a prime.

It is a super-3 number, since 3×10102021121011³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10102021120982 and 10102021121000.

It is not a weakly prime, because it can be changed into another prime (10102021121111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051010560505 + 5051010560506.

It is an arithmetic number, because the mean of its divisors is an integer number (5051010560506).

Almost surely, 2^{10102021121011} is an apocalyptic number.

10102021121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102021121011 is an equidigital number, since it uses as much as digits as its factorization.

10102021121011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102021121011 its reverse (11012112020101), we get a palindrome (21114133141112).

The spelling of 10102021121011 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, eleven".