101001120101 has 8 divisors (see below), whose sum is σ = 117785563200. Its totient is φ = 86572388364.

The previous prime is 101001120067. The next prime is 101001120107. The reversal of 101001120101 is 101021100101.

It is a happy number.

It is not a de Polignac number, because 101001120101 - 2¹⁰ = 101001119077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001120107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147231611 + ... + 147232296.

It is an arithmetic number, because the mean of its divisors is an integer number (14723195400).

Almost surely, 2^101001120101 is an apocalyptic number.

It is an amenable number.

101001120101 is a deficient number, since it is larger than the sum of its proper divisors (16784443099).

101001120101 is an frugal number, since it uses more digits than its factorization.

101001120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294463928 (or 294463914 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001120101 its reverse (101021100101), we get a palindrome (202022220202).

The spelling of 101001120101 in words is "one hundred one billion, one million, one hundred twenty thousand, one hundred one".