1021112120101 has 8 divisors (see below), whose sum is σ = 1065753471384. Its totient is φ = 977410586880.

The previous prime is 1021112120087. The next prime is 1021112120107. The reversal of 1021112120101 is 1010212111201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81713081025 + 939399039076 = 285855^2 + 969226^2 .

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 1021112120101 - 2⁹ = 1021112119589 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 (1021112120107) 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, 234952296 + ... + 234956641.

It is an arithmetic number, because the mean of its divisors is an integer number (133219183923).

Almost surely, 2^{1021112120101} is an apocalyptic number.

It is an amenable number.

1021112120101 is a deficient number, since it is larger than the sum of its proper divisors (44641351283).

1021112120101 is an equidigital number, since it uses as much as digits as its factorization.

1021112120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469909031.

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

Adding to 1021112120101 its reverse (1010212111201), we get a palindrome (2031324231302).

The spelling of 1021112120101 in words is "one trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, one hundred one".