120102211122101 has 8 divisors (see below), whose sum is σ = 129342647843640. Its totient is φ = 110862032271552.

The previous prime is 120102211122083. The next prime is 120102211122107. The reversal of 120102211122101 is 101221112201021.

It can be written as a sum of positive squares in 4 ways, for example, as 9804977064100 + 110297234058001 = 3131290^2 + 10502249^2 .

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 120102211122101 - 2¹⁴ = 120102211105717 is a prime.

It is a super-2 number, since 2×120102211122101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120102211122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102211122107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63499886 + ... + 65363903.

It is an arithmetic number, because the mean of its divisors is an integer number (16167830980455).

Almost surely, 2^{120102211122101} is an apocalyptic number.

It is an amenable number.

120102211122101 is a deficient number, since it is larger than the sum of its proper divisors (9240436721539).

120102211122101 is a wasteful number, since it uses less digits than its factorization.

120102211122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128935495.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120102211122101 its reverse (101221112201021), we get a palindrome (221323323323122).

The spelling of 120102211122101 in words is "one hundred twenty trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".