101220102120200 has 144 divisors (see below), whose sum is σ = 288167434117200. Its totient is φ = 32877506793600.

The previous prime is 101220102120187. The next prime is 101220102120299. The reversal of 101220102120200 is 2021201022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 35 ways as a sum of consecutive naturals, for example, 271618586 + ... + 271990985.

It is an arithmetic number, because the mean of its divisors is an integer number (2001162736925).

Almost surely, 2^{101220102120200} is an apocalyptic number.

101220102120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220102120200 is an abundant number, since it is smaller than the sum of its proper divisors (186947331997000).

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

101220102120200 is a wasteful number, since it uses less digits than its factorization.

101220102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543609620 (or 543609604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220102120200 its reverse (2021201022101), we get a palindrome (103241303142301).

The spelling of 101220102120200 in words is "one hundred one trillion, two hundred twenty billion, one hundred two million, one hundred twenty thousand, two hundred".