11012001102100 has 36 divisors (see below), whose sum is σ = 24346911127644. Its totient is φ = 4321690996480.

The previous prime is 11012001102079. The next prime is 11012001102107. The reversal of 11012001102100 is 120110021011.

11012001102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 387934648336 + 10624066453764 = 622844^2 + 3259458^2 .

It is a super-2 number, since 2×11012001102100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012001102107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038862729 + ... + 1038873328.

It is an arithmetic number, because the mean of its divisors is an integer number (676303086879).

Almost surely, 2^{11012001102100} is an apocalyptic number.

11012001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012001102100 is an abundant number, since it is smaller than the sum of its proper divisors (13334910025544).

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

11012001102100 is a wasteful number, since it uses less digits than its factorization.

11012001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077736124 (or 2077736117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11012001102100 its reverse (120110021011), we get a palindrome (11132111123111).

The spelling of 11012001102100 in words is "eleven trillion, twelve billion, one million, one hundred two thousand, one hundred".