101122021110121 has 16 divisors (see below), whose sum is σ = 110347438002048. Its totient is φ = 91902024726400.

The previous prime is 101122021110083. The next prime is 101122021110137. The reversal of 101122021110121 is 121011120221101.

It is a cyclic number.

It is not a de Polignac number, because 101122021110121 - 2¹³ = 101122021101929 is a prime.

It is a super-2 number, since 2×101122021110121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122021110095 and 101122021110104.

It is not an unprimeable number, because it can be changed into a prime (101122021110161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833131380 + ... + 833252746.

It is an arithmetic number, because the mean of its divisors is an integer number (6896714875128).

Almost surely, 2^{101122021110121} is an apocalyptic number.

101122021110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122021110121 is a deficient number, since it is larger than the sum of its proper divisors (9225416891927).

101122021110121 is a wasteful number, since it uses less digits than its factorization.

101122021110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143072.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101122021110121 its reverse (121011120221101), we get a palindrome (222133141331222).

The spelling of 101122021110121 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-one million, one hundred ten thousand, one hundred twenty-one".