100811888125641 has 32 divisors (see below), whose sum is σ = 186203776051200. Its totient is φ = 52369812012240.

The previous prime is 100811888125583. The next prime is 100811888125649. The reversal of 100811888125641 is 146521888118001.

100811888125641 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100811888125641 - 2¹⁰ = 100811888124617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100811888125649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24245281261 + ... + 24245285418.

It is an arithmetic number, because the mean of its divisors is an integer number (5818868001600).

Almost surely, 2^{100811888125641} is an apocalyptic number.

100811888125641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100811888125641 is a deficient number, since it is larger than the sum of its proper divisors (85391887925559).

100811888125641 is a wasteful number, since it uses less digits than its factorization.

100811888125641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48490566706 (or 48490566700 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 54.

The spelling of 100811888125641 in words is "one hundred trillion, eight hundred eleven billion, eight hundred eighty-eight million, one hundred twenty-five thousand, six hundred forty-one".