101121212020101 has 64 divisors (see below), whose sum is σ = 170431104614400. Its totient is φ = 51895958190336.

The previous prime is 101121212020099. The next prime is 101121212020139. The reversal of 101121212020101 is 101020212121101.

It is a happy number.

It is not a de Polignac number, because 101121212020101 - 2¹ = 101121212020099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121212020151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683551620 + ... + 683699538.

It is an arithmetic number, because the mean of its divisors is an integer number (2662986009600).

Almost surely, 2^{101121212020101} is an apocalyptic number.

It is an amenable number.

101121212020101 is a deficient number, since it is larger than the sum of its proper divisors (69309892594299).

101121212020101 is a wasteful number, since it uses less digits than its factorization.

101121212020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215658.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121212020101 its reverse (101020212121101), we get a palindrome (202141424141202).

The spelling of 101121212020101 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, twenty thousand, one hundred one".