10120020100001 has 6 divisors (see below), whose sum is σ = 11772268279650. Its totient is φ = 8674302942816.

The previous prime is 10120020099997. The next prime is 10120020100061. The reversal of 10120020100001 is 10000102002101.

It can be written as a sum of positive squares in only one way, i.e., 9825409971601 + 294610128400 = 3134551^2 + 542780^2 .

It is not a de Polignac number, because 10120020100001 - 2² = 10120020099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120020100061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103265511176 + ... + 103265511273.

It is an arithmetic number, because the mean of its divisors is an integer number (1962044713275).

Almost surely, 2^{10120020100001} is an apocalyptic number.

It is an amenable number.

10120020100001 is a deficient number, since it is larger than the sum of its proper divisors (1652248179649).

10120020100001 is an equidigital number, since it uses as much as digits as its factorization.

10120020100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206531022463 (or 206531022456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120020100001 its reverse (10000102002101), we get a palindrome (20120122102102).

The spelling of 10120020100001 in words is "ten trillion, one hundred twenty billion, twenty million, one hundred thousand, one".