11100101120010 has 192 divisors, whose sum is σ = 33363084867840. Its totient is φ = 2508097582080.

The previous prime is 11100101119969. The next prime is 11100101120011. The reversal of 11100101120010 is 1002110100111.

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 = 11100101119974 and 11100101120001.

It is not an unprimeable number, because it can be changed into a prime (11100101120011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20131800 + ... + 20675820.

It is an arithmetic number, because the mean of its divisors is an integer number (173766067020).

Almost surely, 2^{11100101120010} is an apocalyptic number.

11100101120010 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 11100101120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681542433920).

11100101120010 is an abundant number, since it is smaller than the sum of its proper divisors (22262983747830).

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

11100101120010 is a wasteful number, since it uses less digits than its factorization.

11100101120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544413 (or 544410 counting only the distinct ones).

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

Adding to 11100101120010 its reverse (1002110100111), we get a palindrome (12102211220121).

The spelling of 11100101120010 in words is "eleven trillion, one hundred billion, one hundred one million, one hundred twenty thousand, ten".