101132233311021 has 8 divisors (see below), whose sum is σ = 147101430270624. Its totient is φ = 61292262612720.

The previous prime is 101132233310909. The next prime is 101132233311041. The reversal of 101132233311021 is 120113332231101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101132233311021 - 2¹⁰ = 101132233309997 is a prime.

It is a super-2 number, since 2×101132233311021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101132233310982 and 101132233311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132233311041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532306565286 + ... + 1532306565351.

It is an arithmetic number, because the mean of its divisors is an integer number (18387678783828).

Almost surely, 2^{101132233311021} is an apocalyptic number.

101132233311021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101132233311021 is a deficient number, since it is larger than the sum of its proper divisors (45969196959603).

101132233311021 is a wasteful number, since it uses less digits than its factorization.

101132233311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064613130651.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101132233311021 its reverse (120113332231101), we get a palindrome (221245565542122).

It can be divided in two parts, 1011322 and 33311021, that added together give a palindrome (34322343).

The spelling of 101132233311021 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred thirty-three million, three hundred eleven thousand, twenty-one".