101043245100 has 288 divisors, whose sum is σ = 354238327296. Its totient is φ = 21708288000.

The previous prime is 101043245071. The next prime is 101043245153. The reversal of 101043245100 is 1542340101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37519354 + ... + 37522046.

It is an arithmetic number, because the mean of its divisors is an integer number (1229994192).

Almost surely, 2^101043245100 is an apocalyptic number.

101043245100 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 101043245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177119163648).

101043245100 is an abundant number, since it is smaller than the sum of its proper divisors (253195082196).

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

101043245100 is a wasteful number, since it uses less digits than its factorization.

101043245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101043245100 its reverse (1542340101), we get a palindrome (102585585201).

The spelling of 101043245100 in words is "one hundred one billion, forty-three million, two hundred forty-five thousand, one hundred".