101132210120093 has 2 divisors, whose sum is σ = 101132210120094. Its totient is φ = 101132210120092.

The previous prime is 101132210120069. The next prime is 101132210120147. The reversal of 101132210120093 is 390021012231101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100560041929369 + 572168190724 = 10027963^2 + 756418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101132210120093 is a prime.

It is a super-3 number, since 3×101132210120093³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101132210120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566105060046 + 50566105060047.

It is an arithmetic number, because the mean of its divisors is an integer number (50566105060047).

Almost surely, 2^{101132210120093} is an apocalyptic number.

It is an amenable number.

101132210120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132210120093 is an equidigital number, since it uses as much as digits as its factorization.

101132210120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 101132210120093 its reverse (390021012231101), we get a palindrome (491153222351194).

The spelling of 101132210120093 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty thousand, ninety-three".