202123101323000 has 512 divisors, whose sum is σ = 559778034816000. Its totient is φ = 67343466240000.

The previous prime is 202123101322979. The next prime is 202123101323051. The reversal of 202123101323000 is 323101321202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14615880086 + ... + 14615893914.

It is an arithmetic number, because the mean of its divisors is an integer number (1093316474250).

Almost surely, 2^{202123101323000} is an apocalyptic number.

202123101323000 is a gapful number since it is divisible by the number (20) 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 202123101323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279889017408000).

202123101323000 is an abundant number, since it is smaller than the sum of its proper divisors (357654933493000).

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

202123101323000 is a wasteful number, since it uses less digits than its factorization.

202123101323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 202123101323000 its reverse (323101321202), we get a palindrome (202446202644202).

The spelling of 202123101323000 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-three thousand".