1023200003100 has 288 divisors, whose sum is σ = 3266187950592. Its totient is φ = 245244800000.

The previous prime is 1023200003099. The next prime is 1023200003101. The reversal of 1023200003100 is 13000023201.

It is a happy number.

1023200003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023200003099) and next prime (1023200003101).

It is a super-2 number, since 2×1023200003100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023200003101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295635370 + ... + 295638830.

It is an arithmetic number, because the mean of its divisors is an integer number (11340930384).

Almost surely, 2^{1023200003100} is an apocalyptic number.

1023200003100 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 1023200003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633093975296).

1023200003100 is an abundant number, since it is smaller than the sum of its proper divisors (2242987947492).

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

1023200003100 is a wasteful number, since it uses less digits than its factorization.

1023200003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1023200003100 its reverse (13000023201), we get a palindrome (1036200026301).

The spelling of 1023200003100 in words is "one trillion, twenty-three billion, two hundred million, three thousand, one hundred".