101012121301 has 32 divisors (see below), whose sum is σ = 124974904320. Its totient is φ = 79503088896.

The previous prime is 101012121289. The next prime is 101012121323. The reversal of 101012121301 is 103121210101.

It is a happy number.

It is not a de Polignac number, because 101012121301 - 2⁵ = 101012121269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012121361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27771655 + ... + 27775291.

It is an arithmetic number, because the mean of its divisors is an integer number (3905465760).

Almost surely, 2^101012121301 is an apocalyptic number.

It is an amenable number.

101012121301 is a deficient number, since it is larger than the sum of its proper divisors (23962783019).

101012121301 is a wasteful number, since it uses less digits than its factorization.

101012121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173.

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

Adding to 101012121301 its reverse (103121210101), we get a palindrome (204133331402).

The spelling of 101012121301 in words is "one hundred one billion, twelve million, one hundred twenty-one thousand, three hundred one".