101201332302100 has 144 divisors (see below), whose sum is σ = 234491672197440. Its totient is φ = 37852295500800.

The previous prime is 101201332302079. The next prime is 101201332302101. The reversal of 101201332302100 is 1203233102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201332302101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185431 + ... + 15142369.

It is an arithmetic number, because the mean of its divisors is an integer number (1628414390260).

Almost surely, 2^{101201332302100} is an apocalyptic number.

101201332302100 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 101201332302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117245836098720).

101201332302100 is an abundant number, since it is smaller than the sum of its proper divisors (133290339895340).

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

101201332302100 is a wasteful number, since it uses less digits than its factorization.

101201332302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957098 (or 9957091 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101201332302100 its reverse (1203233102101), we get a palindrome (102404565404201).

The spelling of 101201332302100 in words is "one hundred one trillion, two hundred one billion, three hundred thirty-two million, three hundred two thousand, one hundred".