1011120100 has 72 divisors (see below), whose sum is σ = 2242356480. Its totient is φ = 395662080.

The previous prime is 1011120049. The next prime is 1011120113. The reversal of 1011120100 is 10211101.

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, 916149 + ... + 917251.

It is an arithmetic number, because the mean of its divisors is an integer number (31143840).

Almost surely, 2^1011120100 is an apocalyptic number.

1011120100 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 1011120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121178240).

1011120100 is an abundant number, since it is smaller than the sum of its proper divisors (1231236380).

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

1011120100 is a wasteful number, since it uses less digits than its factorization.

1011120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

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

The square root of 1011120100 is about 31798.1147239895. The cubic root of 1011120100 is about 1003.6930446321.

Adding to 1011120100 its reverse (10211101), we get a palindrome (1021331201).

The spelling of 1011120100 in words is "one billion, eleven million, one hundred twenty thousand, one hundred".