101121021101 has 2 divisors, whose sum is σ = 101121021102. Its totient is φ = 101121021100.

The previous prime is 101121021083. The next prime is 101121021107. The reversal of 101121021101 is 101120121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62597538025 + 38523483076 = 250195^2 + 196274^2 .

It is an emirp because it is prime and its reverse (101120121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101121021101 - 2⁶ = 101121021037 is a prime.

It is a super-3 number, since 3×101121021101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121021107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560510550 + 50560510551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560510551).

Almost surely, 2^101121021101 is an apocalyptic number.

It is an amenable number.

101121021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121021101 is an equidigital number, since it uses as much as digits as its factorization.

101121021101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121021101 its reverse (101120121101), we get a palindrome (202241142202).

The spelling of 101121021101 in words is "one hundred one billion, one hundred twenty-one million, twenty-one thousand, one hundred one".