101200012221 has 128 divisors (see below), whose sum is σ = 175401676800. Its totient is φ = 50383872000.

The previous prime is 101200012159. The next prime is 101200012241. The reversal of 101200012221 is 122210002101.

101200012221 = 408² + 409² + ... + 6721².

It is not a de Polignac number, because 101200012221 - 2⁹ = 101200011709 is a prime.

101200012221 is a modest number, since divided by 12221 gives 1012 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101200012197 and 101200012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200012241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177855625 + ... + 177856193.

It is an arithmetic number, because the mean of its divisors is an integer number (1370325600).

Almost surely, 2^101200012221 is an apocalyptic number.

101200012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200012221 is a deficient number, since it is larger than the sum of its proper divisors (74201664579).

101200012221 is a wasteful number, since it uses less digits than its factorization.

101200012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200012221 its reverse (122210002101), we get a palindrome (223410014322).

The spelling of 101200012221 in words is "one hundred one billion, two hundred million, twelve thousand, two hundred twenty-one".