1020100001001 has 8 divisors (see below), whose sum is σ = 1360184483904. Its totient is φ = 680041092720.

The previous prime is 1020100000993. The next prime is 1020100001017. The reversal of 1020100001001 is 1001000010201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1020100001001 - 2³ = 1020100000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020100001101) 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, 6300390 + ... + 6460271.

It is an arithmetic number, because the mean of its divisors is an integer number (170023060488).

Almost surely, 2^{1020100001001} is an apocalyptic number.

It is an amenable number.

1020100001001 is a deficient number, since it is larger than the sum of its proper divisors (340084482903).

1020100001001 is a wasteful number, since it uses less digits than its factorization.

1020100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787311.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1020100001001 its reverse (1001000010201), we get a palindrome (2021100011202).

The spelling of 1020100001001 in words is "one trillion, twenty billion, one hundred million, one thousand, one".