20111112100 has 72 divisors (see below), whose sum is σ = 44317663488. Its totient is φ = 7920057600.

The previous prime is 20111112097. The next prime is 20111112121. The reversal of 20111112100 is 121111102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6651189 + ... + 6654211.

It is an arithmetic number, because the mean of its divisors is an integer number (615523104).

Almost surely, 2^20111112100 is an apocalyptic number.

20111112100 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 20111112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22158831744).

20111112100 is an abundant number, since it is smaller than the sum of its proper divisors (24206551388).

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

20111112100 is a wasteful number, since it uses less digits than its factorization.

20111112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20111112100 its reverse (121111102), we get a palindrome (20232223202).

It can be divided in two parts, 2011 and 1112100, that added together give a palindrome (1114111).

The spelling of 20111112100 in words is "twenty billion, one hundred eleven million, one hundred twelve thousand, one hundred".