101220013200 has 60 divisors (see below), whose sum is σ = 324241446128. Its totient is φ = 26992003200.

The previous prime is 101220013199. The next prime is 101220013201. The reversal of 101220013200 is 2310022101.

It is an interprime number because it is at equal distance from previous prime (101220013199) and next prime (101220013201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101220013201) 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 11 ways as a sum of consecutive naturals, for example, 42173806 + ... + 42176205.

Almost surely, 2^101220013200 is an apocalyptic number.

101220013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220013200 is an abundant number, since it is smaller than the sum of its proper divisors (223021432928).

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

101220013200 is a wasteful number, since it uses less digits than its factorization.

101220013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84350032 (or 84350021 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101220013200 its reverse (2310022101), we get a palindrome (103530035301).

The spelling of 101220013200 in words is "one hundred one billion, two hundred twenty million, thirteen thousand, two hundred".