100778121144401 has 16 divisors (see below), whose sum is σ = 109759872182400. Its totient is φ = 92165311929600.

The previous prime is 100778121144391. The next prime is 100778121144461. The reversal of 100778121144401 is 104441121877001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100778121144401 - 2²² = 100778116950097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100778121144461) 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, 13276040 + ... + 19437321.

It is an arithmetic number, because the mean of its divisors is an integer number (6859992011400).

Almost surely, 2^{100778121144401} is an apocalyptic number.

It is an amenable number.

100778121144401 is a deficient number, since it is larger than the sum of its proper divisors (8981751037999).

100778121144401 is a wasteful number, since it uses less digits than its factorization.

100778121144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719000.

The product of its (nonzero) digits is 50176, while the sum is 41.

The spelling of 100778121144401 in words is "one hundred trillion, seven hundred seventy-eight billion, one hundred twenty-one million, one hundred forty-four thousand, four hundred one".