101200221021100 has 72 divisors (see below), whose sum is σ = 219731773766400. Its totient is φ = 40456630809600.

The previous prime is 101200221021089. The next prime is 101200221021103. The reversal of 101200221021100 is 1120122002101.

It is not an unprimeable number, because it can be changed into a prime (101200221021103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313073366 + ... + 1313150434.

It is an arithmetic number, because the mean of its divisors is an integer number (3051830191200).

Almost surely, 2^{101200221021100} is an apocalyptic number.

101200221021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200221021100 is an abundant number, since it is smaller than the sum of its proper divisors (118531552745300).

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

101200221021100 is a wasteful number, since it uses less digits than its factorization.

101200221021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84523 (or 84516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200221021100 its reverse (1120122002101), we get a palindrome (102320343023201).

The spelling of 101200221021100 in words is "one hundred one trillion, two hundred billion, two hundred twenty-one million, twenty-one thousand, one hundred".