20101433121 has 144 divisors (see below), whose sum is σ = 38481730560. Its totient is φ = 10368479520.

The previous prime is 20101433087. The next prime is 20101433123. The reversal of 20101433121 is 12133410102.

20101433121 = 361³ + 362³ + ... + 558³.

It is not a de Polignac number, because 20101433121 - 2⁹ = 20101432609 is a prime.

It is a super-2 number, since 2×20101433121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101433094 and 20101433103.

It is not an unprimeable number, because it can be changed into a prime (20101433123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21872700 + ... + 21873618.

It is an arithmetic number, because the mean of its divisors is an integer number (267234240).

Almost surely, 2^20101433121 is an apocalyptic number.

20101433121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20101433121 is a deficient number, since it is larger than the sum of its proper divisors (18380297439).

20101433121 is a wasteful number, since it uses less digits than its factorization.

20101433121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20101433121 its reverse (12133410102), we get a palindrome (32234843223).

The spelling of 20101433121 in words is "twenty billion, one hundred one million, four hundred thirty-three thousand, one hundred twenty-one".