10201102221100 has 144 divisors (see below), whose sum is σ = 26690922227200. Its totient is φ = 3305891128320.

The previous prime is 10201102221059. The next prime is 10201102221109. The reversal of 10201102221100 is 112220110201.

It is not an unprimeable number, because it can be changed into a prime (10201102221109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4965124 + ... + 6712276.

Almost surely, 2^{10201102221100} is an apocalyptic number.

10201102221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345461113600).

10201102221100 is an abundant number, since it is smaller than the sum of its proper divisors (16489820006100).

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

10201102221100 is a wasteful number, since it uses less digits than its factorization.

10201102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747632 (or 1747625 counting only the distinct ones).

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

Adding to 10201102221100 its reverse (112220110201), we get a palindrome (10313322331301).

The spelling of 10201102221100 in words is "ten trillion, two hundred one billion, one hundred two million, two hundred twenty-one thousand, one hundred".