1012111100 has 144 divisors (see below), whose sum is σ = 2949144576. Its totient is φ = 291168000.

The previous prime is 1012111091. The next prime is 1012111123. The reversal of 1012111100 is 11112101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95045 + ... + 105155.

Almost surely, 2^1012111100 is an apocalyptic number.

1012111100 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 1012111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474572288).

1012111100 is an abundant number, since it is smaller than the sum of its proper divisors (1937033476).

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

1012111100 is a wasteful number, since it uses less digits than its factorization.

1012111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1012111100 is about 31813.6935925397. The cubic root of 1012111100 is about 1004.0208444745.

Adding to 1012111100 its reverse (11112101), we get a palindrome (1023223201).

The spelling of 1012111100 in words is "one billion, twelve million, one hundred eleven thousand, one hundred".