1011100102110 has 448 divisors, whose sum is σ = 3237571067904. Its totient is φ = 222451142400.

The previous prime is 1011100102079. The next prime is 1011100102147. The reversal of 1011100102110 is 112010011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011100102092 and 1011100102101.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 146299555 + ... + 146306465.

Almost surely, 2^{1011100102110} is an apocalyptic number.

1011100102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011100102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618785533952).

1011100102110 is an abundant number, since it is smaller than the sum of its proper divisors (2226470965794).

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

1011100102110 is an equidigital number, since it uses as much as digits as its factorization.

1011100102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011100102110 its reverse (112010011101), we get a palindrome (1123110113211).

The spelling of 1011100102110 in words is "one trillion, eleven billion, one hundred million, one hundred two thousand, one hundred ten".