101121201011021 has 2 divisors, whose sum is σ = 101121201011022. Its totient is φ = 101121201011020.

The previous prime is 101121201010987. The next prime is 101121201011029. The reversal of 101121201011021 is 120110102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69599208352996 + 31521992658025 = 8342614^2 + 5614445^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201011021 - 2²⁶ = 101121133902157 is a prime.

It is a super-2 number, since 2×101121201011021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121201010987 and 101121201011005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121201011029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600505510 + 50560600505511.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600505511).

Almost surely, 2^{101121201011021} is an apocalyptic number.

It is an amenable number.

101121201011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201011021 is an equidigital number, since it uses as much as digits as its factorization.

101121201011021 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 14.

Adding to 101121201011021 its reverse (120110102121101), we get a palindrome (221231303132122).

The spelling of 101121201011021 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, twenty-one".