120122011010001 has 192 divisors, whose sum is σ = 223502039099136. Its totient is φ = 56397125836800.

The previous prime is 120122011009993. The next prime is 120122011010021. The reversal of 120122011010001 is 100010110221021.

It is not a de Polignac number, because 120122011010001 - 2³ = 120122011009993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122011010021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209945331 + ... + 210516711.

It is an arithmetic number, because the mean of its divisors is an integer number (1164073120308).

Almost surely, 2^{120122011010001} is an apocalyptic number.

120122011010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120122011010001 is a deficient number, since it is larger than the sum of its proper divisors (103380028089135).

120122011010001 is a wasteful number, since it uses less digits than its factorization.

120122011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571632 (or 571625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120122011010001 its reverse (100010110221021), we get a palindrome (220132121231022).

It can be divided in two parts, 1201220 and 11010001, that added together give a palindrome (12211221).

The spelling of 120122011010001 in words is "one hundred twenty trillion, one hundred twenty-two billion, eleven million, ten thousand, one".