101211210122121 has 36 divisors (see below), whose sum is σ = 166233668049540. Its totient is φ = 59224950523200.

The previous prime is 101211210122117. The next prime is 101211210122129. The reversal of 101211210122121 is 121221012112101.

It is a happy number.

101211210122121 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 210 + 1 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50547620799225 + 50663589322896 = 7109685^2 + 7117836^2 .

It is not a de Polignac number, because 101211210122121 - 2² = 101211210122117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101211210122094 and 101211210122103.

It is not an unprimeable number, because it can be changed into a prime (101211210122129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1602375090 + ... + 1602438251.

It is an arithmetic number, because the mean of its divisors is an integer number (4617601890265).

Almost surely, 2^{101211210122121} is an apocalyptic number.

101211210122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211210122121 is a deficient number, since it is larger than the sum of its proper divisors (65022457927419).

101211210122121 is a wasteful number, since it uses less digits than its factorization.

101211210122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204813398 (or 3204813384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211210122121 its reverse (121221012112101), we get a palindrome (222432222234222).

The spelling of 101211210122121 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".