101001242100 has 288 divisors, whose sum is σ = 330460099200. Its totient is φ = 23601715200.

The previous prime is 101001242077. The next prime is 101001242101. The reversal of 101001242100 is 1242100101.

It is a happy number.

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 (101001242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305106 + ... + 13312694.

It is an arithmetic number, because the mean of its divisors is an integer number (1147430900).

Almost surely, 2^101001242100 is an apocalyptic number.

101001242100 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 101001242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165230049600).

101001242100 is an abundant number, since it is smaller than the sum of its proper divisors (229458857100).

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

101001242100 is a wasteful number, since it uses less digits than its factorization.

101001242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101001242100 its reverse (1242100101), we get a palindrome (102243342201).

The spelling of 101001242100 in words is "one hundred one billion, one million, two hundred forty-two thousand, one hundred".