10101001001985 has 48 divisors (see below), whose sum is σ = 17538044569344. Its totient is φ = 5378087390976.

The previous prime is 10101001001879. The next prime is 10101001002019. The reversal of 10101001001985 is 58910010010101.

It is not a de Polignac number, because 10101001001985 - 2¹³ = 10101000993793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63602397 + ... + 63761013.

It is an arithmetic number, because the mean of its divisors is an integer number (365375928528).

Almost surely, 2^{10101001001985} is an apocalyptic number.

10101001001985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10101001001985 is a deficient number, since it is larger than the sum of its proper divisors (7437043567359).

10101001001985 is a wasteful number, since it uses less digits than its factorization.

10101001001985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161014 (or 161011 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 10101001001985 in words is "ten trillion, one hundred one billion, one million, one thousand, nine hundred eighty-five".