100111121109977 has 2 divisors, whose sum is σ = 100111121109978. Its totient is φ = 100111121109976.

The previous prime is 100111121109973. The next prime is 100111121109997. The reversal of 100111121109977 is 779901121111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95731430651536 + 4379690458441 = 9784244^2 + 2092771^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121109977 - 2² = 100111121109973 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111121109973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560554988 + 50055560554989.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560554989).

Almost surely, 2^{100111121109977} is an apocalyptic number.

It is an amenable number.

100111121109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121109977 is an equidigital number, since it uses as much as digits as its factorization.

100111121109977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 41.

The spelling of 100111121109977 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, one hundred nine thousand, nine hundred seventy-seven".