101214211124 has 12 divisors (see below), whose sum is σ = 190749859524. Its totient is φ = 46714251264.

The previous prime is 101214211123. The next prime is 101214211129. The reversal of 101214211124 is 421112412101.

It can be written as a sum of positive squares in 2 ways, for example, as 43293124900 + 57921086224 = 208070^2 + 240668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101214211096 and 101214211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214211123) 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 3 ways as a sum of consecutive naturals, for example, 973213517 + ... + 973213620.

It is an arithmetic number, because the mean of its divisors is an integer number (15895821627).

Almost surely, 2^101214211124 is an apocalyptic number.

It is an amenable number.

101214211124 is a deficient number, since it is larger than the sum of its proper divisors (89535648400).

101214211124 is a wasteful number, since it uses less digits than its factorization.

101214211124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946427154 (or 1946427152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101214211124 its reverse (421112412101), we get a palindrome (522326623225).

The spelling of 101214211124 in words is "one hundred one billion, two hundred fourteen million, two hundred eleven thousand, one hundred twenty-four".