100110001022010 has 512 divisors, whose sum is σ = 325821678336000. Its totient is φ = 21351636910080.

The previous prime is 100110001021991. The next prime is 100110001022039. The reversal of 100110001022010 is 10220100011001.

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 = 100110001021983 and 100110001022001.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2589947844 + ... + 2589986496.

It is an arithmetic number, because the mean of its divisors is an integer number (636370465500).

Almost surely, 2^{100110001022010} is an apocalyptic number.

100110001022010 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 100110001022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162910839168000).

100110001022010 is an abundant number, since it is smaller than the sum of its proper divisors (225711677313990).

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

100110001022010 is a wasteful number, since it uses less digits than its factorization.

100110001022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39383 (or 39377 counting only the distinct ones).

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

Adding to 100110001022010 its reverse (10220100011001), we get a palindrome (110330101033011).

The spelling of 100110001022010 in words is "one hundred trillion, one hundred ten billion, one million, twenty-two thousand, ten".