101004201 has 12 divisors (see below), whose sum is σ = 152238528. Its totient is φ = 64408344.

The previous prime is 101004199. The next prime is 101004203. The reversal of 101004201 is 102400101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101004199) and next prime (101004203).

It is not a de Polignac number, because 101004201 - 2¹ = 101004199 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 (101004203) 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, 243765 + ... + 244178.

It is an arithmetic number, because the mean of its divisors is an integer number (12686544).

Almost surely, 2^101004201 is an apocalyptic number.

It is an amenable number.

101004201 is a deficient number, since it is larger than the sum of its proper divisors (51234327).

101004201 is a wasteful number, since it uses less digits than its factorization.

101004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487972 (or 487969 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101004201 is about 10050.0846265094. The cubic root of 101004201 is about 465.7074074885.

Adding to 101004201 its reverse (102400101), we get a palindrome (203404302).

The spelling of 101004201 in words is "one hundred one million, four thousand, two hundred one".