101213003332100 has 144 divisors (see below), whose sum is σ = 243848659311936. Its totient is φ = 36155923200000.

The previous prime is 101213003332093. The next prime is 101213003332121. The reversal of 101213003332100 is 1233300312101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17644472 + ... + 22666128.

It is an arithmetic number, because the mean of its divisors is an integer number (1693393467444).

Almost surely, 2^{101213003332100} is an apocalyptic number.

101213003332100 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 101213003332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121924329655968).

101213003332100 is an abundant number, since it is smaller than the sum of its proper divisors (142635655979836).

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

101213003332100 is a wasteful number, since it uses less digits than its factorization.

101213003332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022006 (or 5021999 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101213003332100 its reverse (1233300312101), we get a palindrome (102446303644201).

The spelling of 101213003332100 in words is "one hundred one trillion, two hundred thirteen billion, three million, three hundred thirty-two thousand, one hundred".