102120212011021 has 2 divisors, whose sum is σ = 102120212011022. Its totient is φ = 102120212011020.

The previous prime is 102120212010967. The next prime is 102120212011091. The reversal of 102120212011021 is 120110212021201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94119296280100 + 8000915730921 = 9701510^2 + 2828589^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120212011021 - 2²⁵ = 102120178456589 is a prime.

It is a super-3 number, since 3×102120212011021³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120212010986 and 102120212011004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120212011091) 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 as a sum of consecutive naturals, namely, 51060106005510 + 51060106005511.

It is an arithmetic number, because the mean of its divisors is an integer number (51060106005511).

Almost surely, 2^{102120212011021} is an apocalyptic number.

It is an amenable number.

102120212011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120212011021 is an equidigital number, since it uses as much as digits as its factorization.

102120212011021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102120212011021 its reverse (120110212021201), we get a palindrome (222230424032222).

The spelling of 102120212011021 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, eleven thousand, twenty-one".