2210101201100 has 108 divisors (see below), whose sum is σ = 5197258135440. Its totient is φ = 815402016000.

The previous prime is 2210101201079. The next prime is 2210101201103. The reversal of 2210101201100 is 11021010122.

It is not an unprimeable number, because it can be changed into a prime (2210101201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21936641 + ... + 22037159.

Almost surely, 2^{2210101201100} is an apocalyptic number.

2210101201100 is a gapful number since it is divisible by the number (20) 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 2210101201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598629067720).

2210101201100 is an abundant number, since it is smaller than the sum of its proper divisors (2987156934340).

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

2210101201100 is a wasteful number, since it uses less digits than its factorization.

2210101201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101860 (or 101840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2210101201100 its reverse (11021010122), we get a palindrome (2221122211222).

The spelling of 2210101201100 in words is "two trillion, two hundred ten billion, one hundred one million, two hundred one thousand, one hundred".