101024201200 has 120 divisors (see below), whose sum is σ = 269812758656. Its totient is φ = 36097920000.

The previous prime is 101024201167. The next prime is 101024201209. The reversal of 101024201200 is 2102420101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024201209) by changing a digit.

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, 152151 + ... + 474550.

Almost surely, 2^101024201200 is an apocalyptic number.

101024201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024201200 is an abundant number, since it is smaller than the sum of its proper divisors (168788557456).

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

101024201200 is a wasteful number, since it uses less digits than its factorization.

101024201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626763 (or 626752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101024201200 its reverse (2102420101), we get a palindrome (103126621301).

The spelling of 101024201200 in words is "one hundred one billion, twenty-four million, two hundred one thousand, two hundred".