2023122101000 has 512 divisors, whose sum is σ = 6427983744000. Its totient is φ = 575511552000.

The previous prime is 2023122100999. The next prime is 2023122101027. The reversal of 2023122101000 is 1012213202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89077646 + ... + 89100354.

It is an arithmetic number, because the mean of its divisors is an integer number (12554655750).

Almost surely, 2^{2023122101000} is an apocalyptic number.

2023122101000 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 2023122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213991872000).

2023122101000 is an abundant number, since it is smaller than the sum of its proper divisors (4404861643000).

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

2023122101000 is a wasteful number, since it uses less digits than its factorization.

2023122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850 (or 22836 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2023122101000 its reverse (1012213202), we get a palindrome (2024134314202).

The spelling of 2023122101000 in words is "two trillion, twenty-three billion, one hundred twenty-two million, one hundred one thousand".