100101010980 has 96 divisors (see below), whose sum is σ = 289130244480. Its totient is φ = 25864058880.

The previous prime is 100101010951. The next prime is 100101010981. The reversal of 100101010980 is 89010101001.

It is not an unprimeable number, because it can be changed into a prime (100101010981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41116 + ... + 449324.

It is an arithmetic number, because the mean of its divisors is an integer number (3011773380).

Almost surely, 2^100101010980 is an apocalyptic number.

100101010980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101010980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144565122240).

100101010980 is an abundant number, since it is smaller than the sum of its proper divisors (189029233500).

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

100101010980 is a wasteful number, since it uses less digits than its factorization.

100101010980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408349 (or 408347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 100101010980 its reverse (89010101001), we get a palindrome (189111111981).

The spelling of 100101010980 in words is "one hundred billion, one hundred one million, ten thousand, nine hundred eighty".