10100001012201 has 10 divisors (see below), whose sum is σ = 15087655833162. Its totient is φ = 6733334008080.

The previous prime is 10100001012191. The next prime is 10100001012221. The reversal of 10100001012201 is 10221010000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6198680781225 + 3901320230976 = 2489715^2 + 1975176^2 .

It is not a de Polignac number, because 10100001012201 - 2⁹ = 10100001011689 is a prime.

It is a super-2 number, since 2×10100001012201² (a number of 27 digits) contains 22 as substring.

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 (10100001012221) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62345685180 + ... + 62345685341.

Almost surely, 2^{10100001012201} is an apocalyptic number.

It is an amenable number.

10100001012201 is a deficient number, since it is larger than the sum of its proper divisors (4987654820961).

10100001012201 is an equidigital number, since it uses as much as digits as its factorization.

10100001012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124691370533 (or 124691370524 counting only the distinct ones).

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

Adding to 10100001012201 its reverse (10221010000101), we get a palindrome (20321011012302).

The spelling of 10100001012201 in words is "ten trillion, one hundred billion, one million, twelve thousand, two hundred one".