120020021101211 has 48 divisors (see below), whose sum is σ = 154284307752960. Its totient is φ = 92310284445120.

The previous prime is 120020021101193. The next prime is 120020021101223. The reversal of 120020021101211 is 112101120020021.

It is a de Polignac number, because none of the positive numbers 2^k-120020021101211 is a prime.

It is a super-2 number, since 2×120020021101211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120020021101231) 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 47 ways as a sum of consecutive naturals, for example, 47395085 + ... + 49863153.

It is an arithmetic number, because the mean of its divisors is an integer number (3214256411520).

Almost surely, 2^{120020021101211} is an apocalyptic number.

120020021101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120020021101211 is a deficient number, since it is larger than the sum of its proper divisors (34264286651749).

120020021101211 is a wasteful number, since it uses less digits than its factorization.

120020021101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469264 (or 2469257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120020021101211 its reverse (112101120020021), we get a palindrome (232121141121232).

The spelling of 120020021101211 in words is "one hundred twenty trillion, twenty billion, twenty-one million, one hundred one thousand, two hundred eleven".