11111012010 has 192 divisors, whose sum is σ = 33507302400. Its totient is φ = 2502130176.

The previous prime is 11111011999. The next prime is 11111012053. The reversal of 11111012010 is 1021011111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11111011983 and 11111012001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16411792 + ... + 16412468.

It is an arithmetic number, because the mean of its divisors is an integer number (174517200).

Almost surely, 2^11111012010 is an apocalyptic number.

11111012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753651200).

11111012010 is an abundant number, since it is smaller than the sum of its proper divisors (22396290390).

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

11111012010 is a wasteful number, since it uses less digits than its factorization.

11111012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11111012010 its reverse (1021011111), we get a palindrome (12132023121).

It can be divided in two parts, 1111101 and 2010, that added together give a palindrome (1113111).

The spelling of 11111012010 in words is "eleven billion, one hundred eleven million, twelve thousand, ten".