100101100098944 has 96 divisors (see below), whose sum is σ = 244187951743800. Its totient is φ = 40642551871488.

The previous prime is 100101100098943. The next prime is 100101100098973. The reversal of 100101100098944 is 449890001101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 100101100098898 and 100101100098907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100098943) 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 11 ways as a sum of consecutive naturals, for example, 419880749 + ... + 420119084.

Almost surely, 2^{100101100098944} is an apocalyptic number.

100101100098944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100101100098944 is an abundant number, since it is smaller than the sum of its proper divisors (144086851644856).

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

100101100098944 is an equidigital number, since it uses as much as digits as its factorization.

100101100098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839999880 (or 839999861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

Adding to 100101100098944 its reverse (449890001101001), we get a palindrome (549991101199945).

The spelling of 100101100098944 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-eight thousand, nine hundred forty-four".