110100100220010 has 256 divisors, whose sum is σ = 318847887820800. Its totient is φ = 26928945487872.

The previous prime is 110100100219987. The next prime is 110100100220119. The reversal of 110100100220010 is 10022001001011.

It is a happy number.

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 = 110100100219974 and 110100100220001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49169896 + ... + 51360284.

It is an arithmetic number, because the mean of its divisors is an integer number (1245499561800).

Almost surely, 2^{110100100220010} is an apocalyptic number.

110100100220010 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 110100100220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159423943910400).

110100100220010 is an abundant number, since it is smaller than the sum of its proper divisors (208747787600790).

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

110100100220010 is a wasteful number, since it uses less digits than its factorization.

110100100220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190702 (or 2190696 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110100100220010 its reverse (10022001001011), we get a palindrome (120122101221021).

The spelling of 110100100220010 in words is "one hundred ten trillion, one hundred billion, one hundred million, two hundred twenty thousand, ten".