2111208633100 has 144 divisors (see below), whose sum is σ = 5466958092288. Its totient is φ = 691925794560.

The previous prime is 2111208633067. The next prime is 2111208633101. The reversal of 2111208633100 is 13368021112.

It is a happy number.

It is a super-2 number, since 2×2111208633100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2111208633101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25444882 + ... + 25527718.

It is an arithmetic number, because the mean of its divisors is an integer number (37964986752).

Almost surely, 2^{2111208633100} is an apocalyptic number.

2111208633100 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 2111208633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733479046144).

2111208633100 is an abundant number, since it is smaller than the sum of its proper divisors (3355749459188).

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

2111208633100 is a wasteful number, since it uses less digits than its factorization.

2111208633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84464 (or 84457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 2111208633100 in words is "two trillion, one hundred eleven billion, two hundred eight million, six hundred thirty-three thousand, one hundred".