2201111012100 has 648 divisors, whose sum is σ = 8769497507904. Its totient is φ = 422186688000.

The previous prime is 2201111012047. The next prime is 2201111012123. The reversal of 2201111012100 is 12101111022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23075505 + ... + 23170695.

Almost surely, 2^{2201111012100} is an apocalyptic number.

2201111012100 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 2201111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384748753952).

2201111012100 is an abundant number, since it is smaller than the sum of its proper divisors (6568386495804).

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

2201111012100 is a wasteful number, since it uses less digits than its factorization.

2201111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95257 (or 95232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2201111012100 its reverse (12101111022), we get a palindrome (2213212123122).

The spelling of 2201111012100 in words is "two trillion, two hundred one billion, one hundred eleven million, twelve thousand, one hundred".