101011102101009 has 8 divisors (see below), whose sum is σ = 149646077186720. Its totient is φ = 67340734733988.

The previous prime is 101011102100999. The next prime is 101011102101017. The reversal of 101011102101009 is 900101201110101.

It is not a de Polignac number, because 101011102101009 - 2⁴¹ = 98812078845457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011102100982 and 101011102101000.

It is not an unprimeable number, because it can be changed into a prime (101011102101109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1870575964807 + ... + 1870575964860.

It is an arithmetic number, because the mean of its divisors is an integer number (18705759648340).

Almost surely, 2^{101011102101009} is an apocalyptic number.

It is an amenable number.

101011102101009 is a deficient number, since it is larger than the sum of its proper divisors (48634975085711).

101011102101009 is an equidigital number, since it uses as much as digits as its factorization.

101011102101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741151929676 (or 3741151929670 counting only the distinct ones).

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

The spelling of 101011102101009 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, nine".