1023332101020 has 144 divisors (see below), whose sum is σ = 3131164003968. Its totient is φ = 270518077440.

The previous prime is 1023332101009. The next prime is 1023332101037. The reversal of 1023332101020 is 201012333201.

1023332101020 is a `hidden beast` number, since 10 + 233 + 321 + 0 + 102 + 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 = 1023332100984 and 1023332101002.

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, 12138052 + ... + 12222068.

It is an arithmetic number, because the mean of its divisors is an integer number (21744194472).

Almost surely, 2^{1023332101020} is an apocalyptic number.

1023332101020 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 1023332101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565582001984).

1023332101020 is an abundant number, since it is smaller than the sum of its proper divisors (2107831902948).

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

1023332101020 is a wasteful number, since it uses less digits than its factorization.

1023332101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84620 (or 84615 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023332101020 its reverse (201012333201), we get a palindrome (1224344434221).

The spelling of 1023332101020 in words is "one trillion, twenty-three billion, three hundred thirty-two million, one hundred one thousand, twenty".