10020100101201 has 20 divisors (see below), whose sum is σ = 15005625156324. Its totient is φ = 6663408192000.

The previous prime is 10020100101181. The next prime is 10020100101229. The reversal of 10020100101201 is 10210100102001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9973595610000 + 46504491201 = 3158100^2 + 215649^2 .

It is not a de Polignac number, because 10020100101201 - 2¹⁴ = 10020100084817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10020100101251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154213080 + ... + 154278041.

Almost surely, 2^{10020100101201} is an apocalyptic number.

It is an amenable number.

10020100101201 is a deficient number, since it is larger than the sum of its proper divisors (4985525055123).

10020100101201 is an equidigital number, since it uses as much as digits as its factorization.

10020100101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308491534 (or 308491525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020100101201 its reverse (10210100102001), we get a palindrome (20230200203202).

The spelling of 10020100101201 in words is "ten trillion, twenty billion, one hundred million, one hundred one thousand, two hundred one".