101020112200001 has 2 divisors, whose sum is σ = 101020112200002. Its totient is φ = 101020112200000.

The previous prime is 101020112199943. The next prime is 101020112200027. The reversal of 101020112200001 is 100002211020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96702344050225 + 4317768149776 = 9833735^2 + 2077924^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020112200001 - 2²⁶ = 101020045091137 is a prime.

It is a super-3 number, since 3×101020112200001³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101020112200081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510056100000 + 50510056100001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510056100001).

Almost surely, 2^{101020112200001} is an apocalyptic number.

It is an amenable number.

101020112200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020112200001 is an equidigital number, since it uses as much as digits as its factorization.

101020112200001 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 11.

Adding to 101020112200001 its reverse (100002211020101), we get a palindrome (201022323220102).

The spelling of 101020112200001 in words is "one hundred one trillion, twenty billion, one hundred twelve million, two hundred thousand, one".