1011001102110 has 96 divisors (see below), whose sum is σ = 2668778225568. Its totient is φ = 265500518400.

The previous prime is 1011001102103. The next prime is 1011001102201. The reversal of 1011001102110 is 112011001101.

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 = 1011001102092 and 1011001102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121910 + ... + 2554310.

It is an arithmetic number, because the mean of its divisors is an integer number (27799773183).

Almost surely, 2^{1011001102110} is an apocalyptic number.

1011001102110 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 1011001102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334389112784).

1011001102110 is an abundant number, since it is smaller than the sum of its proper divisors (1657777123458).

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

1011001102110 is a wasteful number, since it uses less digits than its factorization.

1011001102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432810 (or 432807 counting only the distinct ones).

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

Adding to 1011001102110 its reverse (112011001101), we get a palindrome (1123012103211).

It can be divided in two parts, 1011001 and 102110, that added together give a palindrome (1113111).

The spelling of 1011001102110 in words is "one trillion, eleven billion, one million, one hundred two thousand, one hundred ten".