2111133113100 has 432 divisors, whose sum is σ = 7468081595520. Its totient is φ = 511234416000.

The previous prime is 2111133113093. The next prime is 2111133113123. The reversal of 2111133113100 is 13113311112.

2111133113100 is a `hidden beast` number, since 2 + 11 + 11 + 331 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×2111133113100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356426739 + ... + 356432661.

Almost surely, 2^{2111133113100} is an apocalyptic number.

2111133113100 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 2111133113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734040797760).

2111133113100 is an abundant number, since it is smaller than the sum of its proper divisors (5356948482420).

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

2111133113100 is a wasteful number, since it uses less digits than its factorization.

2111133113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 2111133113100 its reverse (13113311112), we get a palindrome (2124246424212).

It can be divided in two parts, 211 and 1133113100, that added together give a palindrome (1133113311).

The spelling of 2111133113100 in words is "two trillion, one hundred eleven billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred".