101020112211041 has 2 divisors, whose sum is σ = 101020112211042. Its totient is φ = 101020112211040.

The previous prime is 101020112210947. The next prime is 101020112211043. The reversal of 101020112211041 is 140112211020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66098867474641 + 34921244736400 = 8130121^2 + 5909420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101020112211041 is a prime.

It is a super-2 number, since 2×101020112211041² (a number of 29 digits) contains 22 as substring.

Together with 101020112211043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101020112211043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510056105520 + 50510056105521.

It is an arithmetic number, because the mean of its divisors is an integer number (50510056105521).

Almost surely, 2^{101020112211041} is an apocalyptic number.

It is an amenable number.

101020112211041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020112211041 is an equidigital number, since it uses as much as digits as its factorization.

101020112211041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101020112211041 its reverse (140112211020101), we get a palindrome (241132323231142).

The spelling of 101020112211041 in words is "one hundred one trillion, twenty billion, one hundred twelve million, two hundred eleven thousand, forty-one".