101001020201001 has 80 divisors (see below), whose sum is σ = 155009153154240. Its totient is φ = 65503528675200.

The previous prime is 101001020200991. The next prime is 101001020201017. The reversal of 101001020201001 is 100102020100101.

It is a happy number.

It is not a de Polignac number, because 101001020201001 - 2⁶ = 101001020200937 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 (101001020201041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 894541651 + ... + 894654551.

It is an arithmetic number, because the mean of its divisors is an integer number (1937614414428).

Almost surely, 2^{101001020201001} is an apocalyptic number.

It is an amenable number.

101001020201001 is a deficient number, since it is larger than the sum of its proper divisors (54008132953239).

101001020201001 is a wasteful number, since it uses less digits than its factorization.

101001020201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113988 (or 113979 counting only the distinct ones).

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

Adding to 101001020201001 its reverse (100102020100101), we get a palindrome (201103040301102).

The spelling of 101001020201001 in words is "one hundred one trillion, one billion, twenty million, two hundred one thousand, one".