20100120120101 has 16 divisors (see below), whose sum is σ = 23170407198720. Its totient is φ = 17079753882240.

The previous prime is 20100120120097. The next prime is 20100120120103. The reversal of 20100120120101 is 10102102100102.

It is not a de Polignac number, because 20100120120101 - 2² = 20100120120097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100120120103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7624370 + ... + 9916211.

It is an arithmetic number, because the mean of its divisors is an integer number (1448150449920).

Almost surely, 2^{20100120120101} is an apocalyptic number.

It is an amenable number.

20100120120101 is a deficient number, since it is larger than the sum of its proper divisors (3070287078619).

20100120120101 is a wasteful number, since it uses less digits than its factorization.

20100120120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542004.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20100120120101 its reverse (10102102100102), we get a palindrome (30202222220203).

The spelling of 20100120120101 in words is "twenty trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred one".