101020010111101 has 2 divisors, whose sum is σ = 101020010111102. Its totient is φ = 101020010111100.

The previous prime is 101020010111081. The next prime is 101020010111123. The reversal of 101020010111101 is 101111010020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100988450588601 + 31559522500 = 10049301^2 + 177650^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020010111101 - 2¹⁵ = 101020010078333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020010111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510005055550 + 50510005055551.

It is an arithmetic number, because the mean of its divisors is an integer number (50510005055551).

Almost surely, 2^{101020010111101} is an apocalyptic number.

It is an amenable number.

101020010111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020010111101 is an equidigital number, since it uses as much as digits as its factorization.

101020010111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101020010111101 its reverse (101111010020101), we get a palindrome (202131020131202).

The spelling of 101020010111101 in words is "one hundred one trillion, twenty billion, ten million, one hundred eleven thousand, one hundred one".