10100312011221 has 32 divisors (see below), whose sum is σ = 14098034073600. Its totient is φ = 6424216747200.

The previous prime is 10100312011217. The next prime is 10100312011243. The reversal of 10100312011221 is 12211021300101.

10100312011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100312011221 - 2² = 10100312011217 is a prime.

It is a super-3 number, since 3×10100312011221³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100312011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100312011211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214197555 + ... + 214244703.

It is an arithmetic number, because the mean of its divisors is an integer number (440563564800).

Almost surely, 2^{10100312011221} is an apocalyptic number.

It is an amenable number.

10100312011221 is a deficient number, since it is larger than the sum of its proper divisors (3997722062379).

10100312011221 is a wasteful number, since it uses less digits than its factorization.

10100312011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79697.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100312011221 its reverse (12211021300101), we get a palindrome (22311333311322).

The spelling of 10100312011221 in words is "ten trillion, one hundred billion, three hundred twelve million, eleven thousand, two hundred twenty-one".