1023342035100 has 1152 divisors, whose sum is σ = 4008703426560. Its totient is φ = 195761664000.

The previous prime is 1023342035087. The next prime is 1023342035101. The reversal of 1023342035100 is 15302433201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023342035101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8057811237 + ... + 8057811363.

It is an arithmetic number, because the mean of its divisors is an integer number (3479777280).

Almost surely, 2^{1023342035100} is an apocalyptic number.

1023342035100 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 1023342035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004351713280).

1023342035100 is an abundant number, since it is smaller than the sum of its proper divisors (2985361391460).

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

1023342035100 is a wasteful number, since it uses less digits than its factorization.

1023342035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1023342035100 its reverse (15302433201), we get a palindrome (1038644468301).

The spelling of 1023342035100 in words is "one trillion, twenty-three billion, three hundred forty-two million, thirty-five thousand, one hundred".