101201211110093 has 2 divisors, whose sum is σ = 101201211110094. Its totient is φ = 101201211110092.

The previous prime is 101201211110053. The next prime is 101201211110123. The reversal of 101201211110093 is 390011112102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56881794168004 + 44319416942089 = 7542002^2 + 6657283^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201211110093 - 2³² = 101196916142797 is a prime.

It is a super-3 number, since 3×101201211110093³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201211110023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600605555046 + 50600605555047.

It is an arithmetic number, because the mean of its divisors is an integer number (50600605555047).

Almost surely, 2^{101201211110093} is an apocalyptic number.

It is an amenable number.

101201211110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201211110093 is an equidigital number, since it uses as much as digits as its factorization.

101201211110093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

Adding to 101201211110093 its reverse (390011112102101), we get a palindrome (491212323212194).

The spelling of 101201211110093 in words is "one hundred one trillion, two hundred one billion, two hundred eleven million, one hundred ten thousand, ninety-three".