101011012100109 has 24 divisors (see below), whose sum is σ = 149848733490872. Its totient is φ = 65520409282560.

The previous prime is 101011012100071. The next prime is 101011012100153. The reversal of 101011012100109 is 901001210110101.

It can be written as a sum of positive squares in 4 ways, for example, as 29032807004100 + 71978205096009 = 5388210^2 + 8483997^2 .

It is not a de Polignac number, because 101011012100109 - 2²⁷ = 101010877882381 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011012100091 and 101011012100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101015012100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138457557 + ... + 139185189.

Almost surely, 2^{101011012100109} is an apocalyptic number.

It is an amenable number.

101011012100109 is a deficient number, since it is larger than the sum of its proper divisors (48837721390763).

101011012100109 is a wasteful number, since it uses less digits than its factorization.

101011012100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144557 (or 1144554 counting only the distinct ones).

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

The spelling of 101011012100109 in words is "one hundred one trillion, eleven billion, twelve million, one hundred thousand, one hundred nine".