1010011101985 has 32 divisors (see below), whose sum is σ = 1252271791008. Its totient is φ = 781672120320.

The previous prime is 1010011101949. The next prime is 1010011102049. The reversal of 1010011101985 is 5891011100101.

It is a happy number.

1010011101985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 815974375969 + 194036726016 = 903313^2 + 440496^2 .

It is not a de Polignac number, because 1010011101985 - 2²⁷ = 1009876884257 is a prime.

It is a super-2 number, since 2×1010011101985² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5692005 + ... + 5866765.

It is an arithmetic number, because the mean of its divisors is an integer number (39133493469).

Almost surely, 2^{1010011101985} is an apocalyptic number.

It is an amenable number.

1010011101985 is a deficient number, since it is larger than the sum of its proper divisors (242260689023).

1010011101985 is a wasteful number, since it uses less digits than its factorization.

1010011101985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175125.

The product of its (nonzero) digits is 360, while the sum is 28.

The spelling of 1010011101985 in words is "one trillion, ten billion, eleven million, one hundred one thousand, nine hundred eighty-five".