101212101111121 has 64 divisors (see below), whose sum is σ = 143053366579200. Its totient is φ = 68964518188800.

The previous prime is 101212101111089. The next prime is 101212101111151. The reversal of 101212101111121 is 121111101212101.

It is not a de Polignac number, because 101212101111121 - 2⁵ = 101212101111089 is a prime.

It is a super-2 number, since 2×101212101111121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101212101111095 and 101212101111104.

It is not an unprimeable number, because it can be changed into a prime (101212101111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367290331 + ... + 367565791.

It is an arithmetic number, because the mean of its divisors is an integer number (2235208852800).

Almost surely, 2^{101212101111121} is an apocalyptic number.

101212101111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212101111121 is a deficient number, since it is larger than the sum of its proper divisors (41841265468079).

101212101111121 is a wasteful number, since it uses less digits than its factorization.

101212101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294830.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101212101111121 its reverse (121111101212101), we get a palindrome (222323202323222).

The spelling of 101212101111121 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".