101000011201221 has 64 divisors (see below), whose sum is σ = 150453874411776. Its totient is φ = 59755014144000.

The previous prime is 101000011201217. The next prime is 101000011201223. The reversal of 101000011201221 is 122102110000101.

It is not a de Polignac number, because 101000011201221 - 2² = 101000011201217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000011201197 and 101000011201206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011201223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110767071 + ... + 111675171.

It is an arithmetic number, because the mean of its divisors is an integer number (2350841787684).

Almost surely, 2^{101000011201221} is an apocalyptic number.

101000011201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000011201221 is a deficient number, since it is larger than the sum of its proper divisors (49453863210555).

101000011201221 is a wasteful number, since it uses less digits than its factorization.

101000011201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908662.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101000011201221 its reverse (122102110000101), we get a palindrome (223102121201322).

It can be divided in two parts, 1010000 and 11201221, that added together give a palindrome (12211221).

The spelling of 101000011201221 in words is "one hundred one trillion, eleven million, two hundred one thousand, two hundred twenty-one".