100201115040 has 96 divisors (see below), whose sum is σ = 339913034496. Its totient is φ = 24664888320.

The previous prime is 100201115039. The next prime is 100201115041. The reversal of 100201115040 is 40511102001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100201115039) and next prime (100201115041).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (100201115041) 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 15 ways as a sum of consecutive naturals, for example, 8022696 + ... + 8035175.

It is an arithmetic number, because the mean of its divisors is an integer number (3540760776).

Almost surely, 2^100201115040 is an apocalyptic number.

100201115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201115040 is an abundant number, since it is smaller than the sum of its proper divisors (239711919456).

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

100201115040 is a wasteful number, since it uses less digits than its factorization.

100201115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057902 (or 16057894 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 100201115040 its reverse (40511102001), we get a palindrome (140712217041).

The spelling of 100201115040 in words is "one hundred billion, two hundred one million, one hundred fifteen thousand, forty".