101020120311001 has 4 divisors (see below), whose sum is σ = 101020141763892. Its totient is φ = 101020098858112.

The previous prime is 101020120310983. The next prime is 101020120311007. The reversal of 101020120311001 is 100113021020101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 81216053880025 + 19804066430976 = 9011995^2 + 4450176^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020120311001 - 2⁵ = 101020120310969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020120311007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256576 + ... + 14216401.

It is an arithmetic number, because the mean of its divisors is an integer number (25255035440973).

Almost surely, 2^{101020120311001} is an apocalyptic number.

It is an amenable number.

101020120311001 is a deficient number, since it is larger than the sum of its proper divisors (21452891).

101020120311001 is an equidigital number, since it uses as much as digits as its factorization.

101020120311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21452890.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101020120311001 its reverse (100113021020101), we get a palindrome (201133141331102).

The spelling of 101020120311001 in words is "one hundred one trillion, twenty billion, one hundred twenty million, three hundred eleven thousand, one".