20122120000101 has 32 divisors (see below), whose sum is σ = 32469483011328. Its totient is φ = 10820800005120.

The previous prime is 20122120000027. The next prime is 20122120000223. The reversal of 20122120000101 is 10100002122102.

It is not a de Polignac number, because 20122120000101 - 2¹⁵ = 20122119967333 is a prime.

It is a super-4 number, since 4×20122120000101⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122120000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207991 + ... + 6347243.

It is an arithmetic number, because the mean of its divisors is an integer number (1014671344104).

Almost surely, 2^{20122120000101} is an apocalyptic number.

20122120000101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20122120000101 is a deficient number, since it is larger than the sum of its proper divisors (12347363011227).

20122120000101 is a wasteful number, since it uses less digits than its factorization.

20122120000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148461.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20122120000101 its reverse (10100002122102), we get a palindrome (30222122122203).

The spelling of 20122120000101 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one", and thus it is an aban number.