10111100020 has 72 divisors (see below), whose sum is σ = 24730786080. Its totient is φ = 3462338880.

The previous prime is 10111099997. The next prime is 10111100029. The reversal of 10111100020 is 2000111101.

It is a super-2 number, since 2×10111100020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10111099976 and 10111100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111100029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835815 + ... + 847825.

It is an arithmetic number, because the mean of its divisors is an integer number (343483140).

Almost surely, 2^10111100020 is an apocalyptic number.

10111100020 is a gapful number since it is divisible by the number (10) 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 10111100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365393040).

10111100020 is an abundant number, since it is smaller than the sum of its proper divisors (14619686060).

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

10111100020 is a wasteful number, since it uses less digits than its factorization.

10111100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10111100020 its reverse (2000111101), we get a palindrome (12111211121).

The spelling of 10111100020 in words is "ten billion, one hundred eleven million, one hundred thousand, twenty".