101122011010001 has 2 divisors, whose sum is σ = 101122011010002. Its totient is φ = 101122011010000.

The previous prime is 101122011009913. The next prime is 101122011010019. The reversal of 101122011010001 is 100010110221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101019063078976 + 102947931025 = 10050824^2 + 320855^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122011010001 - 2³⁰ = 101120937268177 is a prime.

It is a super-2 number, since 2×101122011010001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101122011010021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561005505000 + 50561005505001.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005505001).

Almost surely, 2^{101122011010001} is an apocalyptic number.

It is an amenable number.

101122011010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122011010001 is an equidigital number, since it uses as much as digits as its factorization.

101122011010001 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 11.

Adding to 101122011010001 its reverse (100010110221101), we get a palindrome (201132121231102).

The spelling of 101122011010001 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, ten thousand, one".