100032100311030 has 128 divisors (see below), whose sum is σ = 249792995612160. Its totient is φ = 25619783777280.

The previous prime is 100032100311007. The next prime is 100032100311053. The reversal of 100032100311030 is 30113001230001.

It is an interprime number because it is at equal distance from previous prime (100032100311007) and next prime (100032100311053).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18373749 + ... + 23187471.

It is an arithmetic number, because the mean of its divisors is an integer number (1951507778220).

Almost surely, 2^{100032100311030} is an apocalyptic number.

100032100311030 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 100032100311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124896497806080).

100032100311030 is an abundant number, since it is smaller than the sum of its proper divisors (149760895301130).

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

100032100311030 is a wasteful number, since it uses less digits than its factorization.

100032100311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814046.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100032100311030 its reverse (30113001230001), we get a palindrome (130145101541031).

The spelling of 100032100311030 in words is "one hundred trillion, thirty-two billion, one hundred million, three hundred eleven thousand, thirty".