1020100000001 has 12 divisors (see below), whose sum is σ = 1118635239852. Its totient is φ = 926987410944.

The previous prime is 1020099999931. The next prime is 1020100000009. The reversal of 1020100000001 is 1000000010201.

It is a happy number.

It is a Cunningham number, because it is equal to 1010000²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 2424577600 + 1017675422401 = 49240^2 + 1008799^2 .

It is not a de Polignac number, because 1020100000001 - 2¹⁰ = 1020099998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020100000009) 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, 35661020 + ... + 35689613.

It is an arithmetic number, because the mean of its divisors is an integer number (93219603321).

Almost surely, 2^{1020100000001} is an apocalyptic number.

It is an amenable number.

1020100000001 is a deficient number, since it is larger than the sum of its proper divisors (98535239851).

1020100000001 is an equidigital number, since it uses as much as digits as its factorization.

1020100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71350708 (or 71350679 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1020100000001 its reverse (1000000010201), we get a palindrome (2020100010202).

The spelling of 1020100000001 in words is "one trillion, twenty billion, one hundred million, one", and thus it is an aban number.