20120102000101 has 2 divisors, whose sum is σ = 20120102000102. Its totient is φ = 20120102000100.

The previous prime is 20120102000057. The next prime is 20120102000137. The reversal of 20120102000101 is 10100020102102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18026596859076 + 2093505141025 = 4245774^2 + 1446895^2 .

It is a cyclic number.

It is not a de Polignac number, because 20120102000101 - 2⁷ = 20120101999973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20120102003101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060051000050 + 10060051000051.

It is an arithmetic number, because the mean of its divisors is an integer number (10060051000051).

Almost surely, 2^{20120102000101} is an apocalyptic number.

It is an amenable number.

20120102000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20120102000101 is an equidigital number, since it uses as much as digits as its factorization.

20120102000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20120102000101 its reverse (10100020102102), we get a palindrome (30220122102203).

The spelling of 20120102000101 in words is "twenty trillion, one hundred twenty billion, one hundred two million, one hundred one", and thus it is an aban number.