100114340241040 has 80 divisors (see below), whose sum is σ = 245049665817600. Its totient is φ = 37932957490176.

The previous prime is 100114340241037. The next prime is 100114340241049. The reversal of 100114340241040 is 40142043411001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100114340241040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100114340240996 and 100114340241014.

It is not an unprimeable number, because it can be changed into a prime (100114340241049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6867601 + ... + 15728719.

It is an arithmetic number, because the mean of its divisors is an integer number (3063120822720).

Almost surely, 2^{100114340241040} is an apocalyptic number.

100114340241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100114340241040 is an abundant number, since it is smaller than the sum of its proper divisors (144935325576560).

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

100114340241040 is a wasteful number, since it uses less digits than its factorization.

100114340241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868584 (or 8868578 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100114340241040 its reverse (40142043411001), we get a palindrome (140256383652041).

The spelling of 100114340241040 in words is "one hundred trillion, one hundred fourteen billion, three hundred forty million, two hundred forty-one thousand, forty".