11012010100 has 216 divisors, whose sum is σ = 31699767960. Its totient is φ = 3279790080.

The previous prime is 11012010077. The next prime is 11012010131. The reversal of 11012010100 is 101021011.

It can be written as a sum of positive squares in 12 ways, for example, as 1081488996 + 9930521104 = 32886^2 + 99652^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1077816 + ... + 1087984.

It is an arithmetic number, because the mean of its divisors is an integer number (146758185).

Almost surely, 2^11012010100 is an apocalyptic number.

11012010100 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 11012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849883980).

11012010100 is an abundant number, since it is smaller than the sum of its proper divisors (20687757860).

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

11012010100 is a wasteful number, since it uses less digits than its factorization.

11012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227 (or 10213 counting only the distinct ones).

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

Adding to 11012010100 its reverse (101021011), we get a palindrome (11113031111).

The spelling of 11012010100 in words is "eleven billion, twelve million, ten thousand, one hundred".