101212133121 has 64 divisors (see below), whose sum is σ = 173026160640. Its totient is φ = 57869665920.

The previous prime is 101212133119. The next prime is 101212133137. The reversal of 101212133121 is 121331212101.

101212133121 is a `hidden beast` number, since 101 + 212 + 1 + 331 + 21 = 666.

It is not a de Polignac number, because 101212133121 - 2¹ = 101212133119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212133094 and 101212133103.

It is not an unprimeable number, because it can be changed into a prime (101212133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397180 + ... + 600146.

It is an arithmetic number, because the mean of its divisors is an integer number (2703533760).

Almost surely, 2^101212133121 is an apocalyptic number.

101212133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212133121 is a deficient number, since it is larger than the sum of its proper divisors (71814027519).

101212133121 is a wasteful number, since it uses less digits than its factorization.

101212133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203083 (or 203077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101212133121 its reverse (121331212101), we get a palindrome (222543345222).

The spelling of 101212133121 in words is "one hundred one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty-one".