101323223434020 has 192 divisors, whose sum is σ = 327800987136000. Its totient is φ = 22905330854400.

The previous prime is 101323223433997. The next prime is 101323223434031. The reversal of 101323223434020 is 20434322323101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37684431 + ... + 40283529.

It is an arithmetic number, because the mean of its divisors is an integer number (1707296808000).

Almost surely, 2^{101323223434020} is an apocalyptic number.

101323223434020 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 101323223434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900493568000).

101323223434020 is an abundant number, since it is smaller than the sum of its proper divisors (226477763701980).

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

101323223434020 is a wasteful number, since it uses less digits than its factorization.

101323223434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600138 (or 2600136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 101323223434020 its reverse (20434322323101), we get a palindrome (121757545757121).

The spelling of 101323223434020 in words is "one hundred one trillion, three hundred twenty-three billion, two hundred twenty-three million, four hundred thirty-four thousand, twenty".