1020212111101 has 8 divisors (see below), whose sum is σ = 1055460094200. Its totient is φ = 984968678400.

The previous prime is 1020212111077. The next prime is 1020212111173. The reversal of 1020212111101 is 1011112120201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 204711002500 + 815501108601 = 452450^2 + 903051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020212111101 - 2¹³ = 1020212102909 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 (1020212111701) 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 7 ways as a sum of consecutive naturals, for example, 678300 + ... + 1581301.

It is an arithmetic number, because the mean of its divisors is an integer number (131932511775).

Almost surely, 2^{1020212111101} is an apocalyptic number.

It is an amenable number.

1020212111101 is a deficient number, since it is larger than the sum of its proper divisors (35247983099).

1020212111101 is a wasteful number, since it uses less digits than its factorization.

1020212111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275199.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1020212111101 its reverse (1011112120201), we get a palindrome (2031324231302).

It can be divided in two parts, 102021 and 2111101, that added together give a palindrome (2213122).

The spelling of 1020212111101 in words is "one trillion, twenty billion, two hundred twelve million, one hundred eleven thousand, one hundred one".