1011012100 has 216 divisors, whose sum is σ = 2765213640. Its totient is φ = 318689280.

The previous prime is 1011012061. The next prime is 1011012103. The reversal of 1011012100 is 12101101.

It can be written as a sum of positive squares in 12 ways, for example, as 153664 + 1010858436 = 392^2 + 31794^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4414786 + ... + 4415014.

It is an arithmetic number, because the mean of its divisors is an integer number (12801915).

Almost surely, 2^1011012100 is an apocalyptic number.

1011012100 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 1011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382606820).

1011012100 is an abundant number, since it is smaller than the sum of its proper divisors (1754201540).

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

1011012100 is a wasteful number, since it uses less digits than its factorization.

1011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

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

The square root of 1011012100 is about 31796.4164647528. The cubic root of 1011012100 is about 1003.6573077931.

Adding to 1011012100 its reverse (12101101), we get a palindrome (1023113201).

The spelling of 1011012100 in words is "one billion, eleven million, twelve thousand, one hundred".