110002111010100 has 648 divisors, whose sum is σ = 370241016058368. Its totient is φ = 27265660646400.

The previous prime is 110002111010053. The next prime is 110002111010111. The reversal of 110002111010100 is 1010111200011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28083253342 + ... + 28083257258.

Almost surely, 2^{110002111010100} is an apocalyptic number.

110002111010100 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 110002111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185120508029184).

110002111010100 is an abundant number, since it is smaller than the sum of its proper divisors (260238905048268).

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

110002111010100 is a wasteful number, since it uses less digits than its factorization.

110002111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 4978 counting only the distinct ones).

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

Adding to 110002111010100 its reverse (1010111200011), we get a palindrome (111012222210111).

The spelling of 110002111010100 in words is "one hundred ten trillion, two billion, one hundred eleven million, ten thousand, one hundred".