100100110101030 has 192 divisors, whose sum is σ = 284658443596800. Its totient is φ = 24258063126528.

The previous prime is 100100110101023. The next prime is 100100110101031. The reversal of 100100110101030 is 30101011001001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110101031) 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, 17158587 + ... + 22239993.

It is an arithmetic number, because the mean of its divisors is an integer number (1482596060400).

Almost surely, 2^{100100110101030} is an apocalyptic number.

100100110101030 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 100100110101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142329221798400).

100100110101030 is an abundant number, since it is smaller than the sum of its proper divisors (184558333495770).

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

100100110101030 is a wasteful number, since it uses less digits than its factorization.

100100110101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081695 (or 5081692 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100110101030 its reverse (30101011001001), we get a palindrome (130201121102031).

The spelling of 100100110101030 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, thirty".