10101201233100 has 144 divisors (see below), whose sum is σ = 30236872216320. Its totient is φ = 2600516844800.

The previous prime is 10101201233051. The next prime is 10101201233119. The reversal of 10101201233100 is 133210210101.

It is a happy number.

It is a super-2 number, since 2×10101201233100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101201233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99851545 + ... + 99952655.

It is an arithmetic number, because the mean of its divisors is an integer number (209978279280).

Almost surely, 2^{10101201233100} is an apocalyptic number.

10101201233100 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 10101201233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118436108160).

10101201233100 is an abundant number, since it is smaller than the sum of its proper divisors (20135670983220).

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

10101201233100 is a wasteful number, since it uses less digits than its factorization.

10101201233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112640 (or 112633 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101201233100 its reverse (133210210101), we get a palindrome (10234411443201).

The spelling of 10101201233100 in words is "ten trillion, one hundred one billion, two hundred one million, two hundred thirty-three thousand, one hundred".