101023333020 has 144 divisors (see below), whose sum is σ = 312667363008. Its totient is φ = 26397388800.

The previous prime is 101023333007. The next prime is 101023333049. The reversal of 101023333020 is 20333320101.

101023333020 is a `hidden beast` number, since 101 + 0 + 233 + 330 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101023332984 and 101023333002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1734817 + ... + 1792103.

It is an arithmetic number, because the mean of its divisors is an integer number (2171301132).

Almost surely, 2^101023333020 is an apocalyptic number.

101023333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156333681504).

101023333020 is an abundant number, since it is smaller than the sum of its proper divisors (211644029988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101023333020 is a wasteful number, since it uses less digits than its factorization.

101023333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57500 (or 57495 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101023333020 its reverse (20333320101), we get a palindrome (121356653121).

The spelling of 101023333020 in words is "one hundred one billion, twenty-three million, three hundred thirty-three thousand, twenty".