1020001001985 has 48 divisors (see below), whose sum is σ = 2022496594560. Its totient is φ = 465842361600.

The previous prime is 1020001001969. The next prime is 1020001002011. The reversal of 1020001001985 is 5891001000201.

It is not a de Polignac number, because 1020001001985 - 2⁴ = 1020001001969 is a prime.

It is a super-3 number, since 3×1020001001985³ (a number of 37 digits) contains 333 as substring.

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, 1209420 + ... + 1871549.

It is an arithmetic number, because the mean of its divisors is an integer number (42135345720).

Almost surely, 2^{1020001001985} is an apocalyptic number.

1020001001985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020001001985 is a deficient number, since it is larger than the sum of its proper divisors (1002495592575).

1020001001985 is a wasteful number, since it uses less digits than its factorization.

1020001001985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082038 (or 3082035 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1020001001985 in words is "one trillion, twenty billion, one million, one thousand, nine hundred eighty-five".