201010112112101 has 2 divisors, whose sum is σ = 201010112112102. Its totient is φ = 201010112112100.

The previous prime is 201010112112049. The next prime is 201010112112119. The reversal of 201010112112101 is 101211211010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150964250136001 + 50045861976100 = 12286751^2 + 7074310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201010112112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201010112112151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505056056050 + 100505056056051.

It is an arithmetic number, because the mean of its divisors is an integer number (100505056056051).

Almost surely, 2^{201010112112101} is an apocalyptic number.

It is an amenable number.

201010112112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201010112112101 is an equidigital number, since it uses as much as digits as its factorization.

201010112112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201010112112101 its reverse (101211211010102), we get a palindrome (302221323122203).

The spelling of 201010112112101 in words is "two hundred one trillion, ten billion, one hundred twelve million, one hundred twelve thousand, one hundred one".