101122011012107 has 2 divisors, whose sum is σ = 101122011012108. Its totient is φ = 101122011012106.

The previous prime is 101122011012103. The next prime is 101122011012251. The reversal of 101122011012107 is 701210110221101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101122011012107 - 2² = 101122011012103 is a prime.

It is a super-2 number, since 2×101122011012107² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101122011012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561005506053 + 50561005506054.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005506054).

Almost surely, 2^{101122011012107} is an apocalyptic number.

101122011012107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122011012107 is an equidigital number, since it uses as much as digits as its factorization.

101122011012107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101122011012107 its reverse (701210110221101), we get a palindrome (802332121233208).

The spelling of 101122011012107 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, twelve thousand, one hundred seven".