1011002211100 has 72 divisors (see below), whose sum is σ = 2654772896160. Its totient is φ = 326239365120.

The previous prime is 1011002211067. The next prime is 1011002211103. The reversal of 1011002211100 is 11122001101.

It is a super-3 number, since 3×1011002211100³ (a number of 37 digits) contains 333 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 (1011002211103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42467185 + ... + 42490984.

It is an arithmetic number, because the mean of its divisors is an integer number (36871845780).

Almost surely, 2^{1011002211100} is an apocalyptic number.

1011002211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002211100 is an abundant number, since it is smaller than the sum of its proper divisors (1643770685060).

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

1011002211100 is a wasteful number, since it uses less digits than its factorization.

1011002211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84958207 (or 84958200 counting only the distinct ones).

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

Adding to 1011002211100 its reverse (11122001101), we get a palindrome (1022124212201).

The spelling of 1011002211100 in words is "one trillion, eleven billion, two million, two hundred eleven thousand, one hundred".