121002311012101 has 8 divisors (see below), whose sum is σ = 121031705249784. Its totient is φ = 120972920345280.

The previous prime is 121002311012083. The next prime is 121002311012111. The reversal of 121002311012101 is 101210113200121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28010503325025 + 92991807687076 = 5292495^2 + 9643226^2 .

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 121002311012101 - 2¹⁷ = 121002310881029 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 (121002311012111) 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, 67522791 + ... + 69291643.

It is an arithmetic number, because the mean of its divisors is an integer number (15128963156223).

Almost surely, 2^{121002311012101} is an apocalyptic number.

It is an amenable number.

121002311012101 is a deficient number, since it is larger than the sum of its proper divisors (29394237683).

121002311012101 is an equidigital number, since it uses as much as digits as its factorization.

121002311012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785431.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 121002311012101 its reverse (101210113200121), we get a palindrome (222212424212222).

The spelling of 121002311012101 in words is "one hundred twenty-one trillion, two billion, three hundred eleven million, twelve thousand, one hundred one".