101211122221 has 8 divisors (see below), whose sum is σ = 110421425088. Its totient is φ = 92002368000.

The previous prime is 101211122209. The next prime is 101211122227. The reversal of 101211122221 is 122221112101.

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 101211122221 - 2⁵ = 101211122189 is a prime.

It is a super-2 number, since 2×101211122221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211122195 and 101211122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211122227) 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, 248340 + ... + 513901.

It is an arithmetic number, because the mean of its divisors is an integer number (13802678136).

Almost surely, 2^101211122221 is an apocalyptic number.

101211122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211122221 is a deficient number, since it is larger than the sum of its proper divisors (9210302867).

101211122221 is a wasteful number, since it uses less digits than its factorization.

101211122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774323.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211122221 its reverse (122221112101), we get a palindrome (223432234322).

The spelling of 101211122221 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".