101210020000201 has 60 divisors (see below), whose sum is σ = 120131724063312. Its totient is φ = 85263149916000.

The previous prime is 101210020000181. The next prime is 101210020000207. The reversal of 101210020000201 is 102000020012101.

It is not a de Polignac number, because 101210020000201 - 2²³ = 101210011611593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101210020000207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14035500486 + ... + 14035507696.

Almost surely, 2^{101210020000201} is an apocalyptic number.

It is an amenable number.

101210020000201 is a deficient number, since it is larger than the sum of its proper divisors (18921704063111).

101210020000201 is an frugal number, since it uses more digits than its factorization.

101210020000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101210020000201 its reverse (102000020012101), we get a palindrome (203210040012302).

The spelling of 101210020000201 in words is "one hundred one trillion, two hundred ten billion, twenty million, two hundred one", and thus it is an aban number.