101111100020101 has 2 divisors, whose sum is σ = 101111100020102. Its totient is φ = 101111100020100.

The previous prime is 101111100020083. The next prime is 101111100020129. The reversal of 101111100020101 is 101020001111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70957053807201 + 30154046212900 = 8423601^2 + 5491270^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111100020101 - 2¹⁵ = 101111099987333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111100024101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550010050 + 50555550010051.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550010051).

Almost surely, 2^{101111100020101} is an apocalyptic number.

It is an amenable number.

101111100020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100020101 is an equidigital number, since it uses as much as digits as its factorization.

101111100020101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101111100020101 its reverse (101020001111101), we get a palindrome (202131101131202).

The spelling of 101111100020101 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, twenty thousand, one hundred one".