100400033836041 has 16 divisors (see below), whose sum is σ = 133893212332800. Its totient is φ = 66920106250368.

The previous prime is 100400033836031. The next prime is 100400033836139. The reversal of 100400033836041 is 140638330004001.

It is not a de Polignac number, because 100400033836041 - 2⁵ = 100400033836009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100400033835993 and 100400033836011.

It is not an unprimeable number, because it can be changed into a prime (100400033836031) 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, 1147267195 + ... + 1147354703.

It is an arithmetic number, because the mean of its divisors is an integer number (8368325770800).

Almost surely, 2^{100400033836041} is an apocalyptic number.

It is an amenable number.

100400033836041 is a deficient number, since it is larger than the sum of its proper divisors (33493178496759).

100400033836041 is an equidigital number, since it uses as much as digits as its factorization.

100400033836041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158848.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 100400033836041 in words is "one hundred trillion, four hundred billion, thirty-three million, eight hundred thirty-six thousand, forty-one".