101011120111201 has 2 divisors, whose sum is σ = 101011120111202. Its totient is φ = 101011120111200.

The previous prime is 101011120111199. The next prime is 101011120111283. The reversal of 101011120111201 is 102111021110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54547811151201 + 46463308960000 = 7385649^2 + 6816400^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011120111201 - 2¹ = 101011120111199 is a prime.

It is a super-2 number, since 2×101011120111201² (a number of 29 digits) contains 22 as substring.

Together with 101011120111199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101011120111301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505560055600 + 50505560055601.

It is an arithmetic number, because the mean of its divisors is an integer number (50505560055601).

Almost surely, 2^{101011120111201} is an apocalyptic number.

It is an amenable number.

101011120111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011120111201 is an equidigital number, since it uses as much as digits as its factorization.

101011120111201 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 13.

Adding to 101011120111201 its reverse (102111021110101), we get a palindrome (203122141221302).

The spelling of 101011120111201 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred eleven thousand, two hundred one".