101211405221 has 8 divisors (see below), whose sum is σ = 102221595000. Its totient is φ = 100201374400.

The previous prime is 101211405203. The next prime is 101211405223. The reversal of 101211405221 is 122504112101.

It can be written as a sum of positive squares in 4 ways, for example, as 9290260996 + 91921144225 = 96386^2 + 303185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101211405221 - 2²² = 101207210917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211405193 and 101211405202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211405223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558835 + ... + 1622463.

It is an arithmetic number, because the mean of its divisors is an integer number (12777699375).

Almost surely, 2^101211405221 is an apocalyptic number.

It is an amenable number.

101211405221 is a deficient number, since it is larger than the sum of its proper divisors (1010189779).

101211405221 is a wasteful number, since it uses less digits than its factorization.

101211405221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79479.

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 101211405221 its reverse (122504112101), we get a palindrome (223715517322).

The spelling of 101211405221 in words is "one hundred one billion, two hundred eleven million, four hundred five thousand, two hundred twenty-one".