120102211112001 has 16 divisors (see below), whose sum is σ = 161641269854400. Its totient is φ = 79318167475968.

The previous prime is 120102211111931. The next prime is 120102211112017. The reversal of 120102211112001 is 100211112201021.

It is a happy number.

It is not a de Polignac number, because 120102211112001 - 2¹⁵ = 120102211079233 is a prime.

It is a super-2 number, since 2×120102211112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120102211112041) 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 15 ways as a sum of consecutive naturals, for example, 314924196 + ... + 315305333.

It is an arithmetic number, because the mean of its divisors is an integer number (10102579365900).

Almost surely, 2^{120102211112001} is an apocalyptic number.

It is an amenable number.

120102211112001 is a deficient number, since it is larger than the sum of its proper divisors (41539058742399).

120102211112001 is a wasteful number, since it uses less digits than its factorization.

120102211112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630230128.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120102211112001 its reverse (100211112201021), we get a palindrome (220313323313022).

The spelling of 120102211112001 in words is "one hundred twenty trillion, one hundred two billion, two hundred eleven million, one hundred twelve thousand, one".