101010021201 has 24 divisors (see below), whose sum is σ = 158661218664. Its totient is φ = 61665891840.

The previous prime is 101010021179. The next prime is 101010021331. The reversal of 101010021201 is 102120010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39914046225 + 61095974976 = 199785^2 + 247176^2 .

It is not a de Polignac number, because 101010021201 - 2⁹ = 101010020689 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 (101010021401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8915910 + ... + 8927231.

It is an arithmetic number, because the mean of its divisors is an integer number (6610884111).

Almost surely, 2^101010021201 is an apocalyptic number.

It is an amenable number.

101010021201 is a deficient number, since it is larger than the sum of its proper divisors (57651197463).

101010021201 is a wasteful number, since it uses less digits than its factorization.

101010021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843201 (or 17843198 counting only the distinct ones).

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

Adding to 101010021201 its reverse (102120010101), we get a palindrome (203130031302).

It can be divided in two parts, 1010100 and 21201, that added together give a palindrome (1031301).

The spelling of 101010021201 in words is "one hundred one billion, ten million, twenty-one thousand, two hundred one".