120121210101001 has 6 divisors (see below), whose sum is σ = 127602807962270. Its totient is φ = 113055256565376.

The previous prime is 120121210100993. The next prime is 120121210101037. The reversal of 120121210101001 is 100101012121021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21417680549776 + 98703529551225 = 4627924^2 + 9934965^2 .

It is not a de Polignac number, because 120121210101001 - 2³ = 120121210100993 is a prime.

It is a super-2 number, since 2×120121210101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120121210104001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207822162516 + ... + 207822163093.

Almost surely, 2^{120121210101001} is an apocalyptic number.

It is an amenable number.

120121210101001 is a deficient number, since it is larger than the sum of its proper divisors (7481597861269).

120121210101001 is an equidigital number, since it uses as much as digits as its factorization.

120121210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415644325643 (or 415644325626 counting only the distinct ones).

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

Adding to 120121210101001 its reverse (100101012121021), we get a palindrome (220222222222022).

The spelling of 120121210101001 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one".