101000011121109 has 6 divisors (see below), whose sum is σ = 145888904952726. Its totient is φ = 67333340747400.

The previous prime is 101000011121089. The next prime is 101000011121111. The reversal of 101000011121109 is 901121110000101.

It can be written as a sum of positive squares in only one way, i.e., 99875039062500 + 1124972058609 = 9993750^2 + 1060647^2 .

It is not a de Polignac number, because 101000011121109 - 2²¹ = 101000009023957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000011121091 and 101000011121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011121129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611111728942 + ... + 5611111728959.

It is an arithmetic number, because the mean of its divisors is an integer number (24314817492121).

Almost surely, 2^{101000011121109} is an apocalyptic number.

It is an amenable number.

101000011121109 is a deficient number, since it is larger than the sum of its proper divisors (44888893831617).

101000011121109 is a wasteful number, since it uses less digits than its factorization.

101000011121109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222223457907 (or 11222223457904 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 101000011121109 in words is "one hundred one trillion, eleven million, one hundred twenty-one thousand, one hundred nine".