2112111100020 has 24 divisors (see below), whose sum is σ = 5913911080224. Its totient is φ = 563229626656.

The previous prime is 2112111099983. The next prime is 2112111100027. The reversal of 2112111100020 is 200011112112.

It is a super-2 number, since 2×2112111100020² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112111099969 and 2112111100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111100027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17600925774 + ... + 17600925893.

It is an arithmetic number, because the mean of its divisors is an integer number (246412961676).

Almost surely, 2^{2112111100020} is an apocalyptic number.

2112111100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112111100020 is an abundant number, since it is smaller than the sum of its proper divisors (3801799980204).

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

2112111100020 is a wasteful number, since it uses less digits than its factorization.

2112111100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35201851679 (or 35201851677 counting only the distinct ones).

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

Adding to 2112111100020 its reverse (200011112112), we get a palindrome (2312122212132).

The spelling of 2112111100020 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred thousand, twenty".