101020111021 has 2 divisors, whose sum is σ = 101020111022. Its totient is φ = 101020111020.

The previous prime is 101020111013. The next prime is 101020111039. The reversal of 101020111021 is 120111020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75562312996 + 25457798025 = 274886^2 + 159555^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020111021 - 2³ = 101020111013 is a prime.

It is a super-3 number, since 3×101020111021³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020110989 and 101020111007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020111061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055510 + 50510055511.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055511).

Almost surely, 2^101020111021 is an apocalyptic number.

It is an amenable number.

101020111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111021 is an equidigital number, since it uses as much as digits as its factorization.

101020111021 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 10.

Adding to 101020111021 its reverse (120111020101), we get a palindrome (221131131122).

The spelling of 101020111021 in words is "one hundred one billion, twenty million, one hundred eleven thousand, twenty-one".