1002149017001 has 12 divisors (see below), whose sum is σ = 1101778450500. Its totient is φ = 910843787040.

The previous prime is 1002149016989. The next prime is 1002149017063. The reversal of 1002149017001 is 1007109412001.

It can be written as a sum of positive squares in 2 ways, for example, as 449060814400 + 553088202601 = 670120^2 + 743699^2 .

It is not a de Polignac number, because 1002149017001 - 2³⁰ = 1001075275177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002149017301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359906 + ... + 1460763.

It is an arithmetic number, because the mean of its divisors is an integer number (91814870875).

Almost surely, 2^{1002149017001} is an apocalyptic number.

1002149017001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002149017001 is a deficient number, since it is larger than the sum of its proper divisors (99629433499).

1002149017001 is a wasteful number, since it uses less digits than its factorization.

1002149017001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825240 (or 1825229 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 1002149017001 in words is "one trillion, two billion, one hundred forty-nine million, seventeen thousand, one".