101301123232100 has 72 divisors (see below), whose sum is σ = 239844132847200. Its totient is φ = 36831127449600.

The previous prime is 101301123232097. The next prime is 101301123232129. The reversal of 101301123232100 is 1232321103101.

It is a happy number.

It is a super-2 number, since 2×101301123232100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129371 + ... + 14234429.

Almost surely, 2^{101301123232100} is an apocalyptic number.

101301123232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101301123232100 is an abundant number, since it is smaller than the sum of its proper divisors (138543009615100).

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

101301123232100 is a wasteful number, since it uses less digits than its factorization.

101301123232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111613 (or 14111606 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101301123232100 its reverse (1232321103101), we get a palindrome (102533444335201).

The spelling of 101301123232100 in words is "one hundred one trillion, three hundred one billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".