2211014101100 has 144 divisors (see below), whose sum is σ = 5509485037056. Its totient is φ = 754451712000.

The previous prime is 2211014101073. The next prime is 2211014101147. The reversal of 2211014101100 is 11014101122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146504555 + ... + 146519645.

Almost surely, 2^{2211014101100} is an apocalyptic number.

2211014101100 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 2211014101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754742518528).

2211014101100 is an abundant number, since it is smaller than the sum of its proper divisors (3298470935956).

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

2211014101100 is a wasteful number, since it uses less digits than its factorization.

2211014101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16096 (or 16089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2211014101100 its reverse (11014101122), we get a palindrome (2222028202222).

The spelling of 2211014101100 in words is "two trillion, two hundred eleven billion, fourteen million, one hundred one thousand, one hundred".