101002032021 has 8 divisors (see below), whose sum is σ = 146912046624. Its totient is φ = 61213352720.

The previous prime is 101002031993. The next prime is 101002032073. The reversal of 101002032021 is 120230200101.

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

It is a cyclic number.

It is not a de Polignac number, because 101002032021 - 2⁶ = 101002031957 is a prime.

It is a super-2 number, since 2×101002032021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002031988 and 101002032006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530333786 + ... + 1530333851.

It is an arithmetic number, because the mean of its divisors is an integer number (18364005828).

Almost surely, 2^101002032021 is an apocalyptic number.

101002032021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002032021 is a deficient number, since it is larger than the sum of its proper divisors (45910014603).

101002032021 is a wasteful number, since it uses less digits than its factorization.

101002032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060667651.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101002032021 its reverse (120230200101), we get a palindrome (221232232122).

The spelling of 101002032021 in words is "one hundred one billion, two million, thirty-two thousand, twenty-one".