100110012120101 has 2 divisors, whose sum is σ = 100110012120102. Its totient is φ = 100110012120100.

The previous prime is 100110012120089. The next prime is 100110012120127. The reversal of 100110012120101 is 101021210011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99955504950625 + 154507169476 = 9997775^2 + 393074^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110012120101 - 2²² = 100110007925797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110012120301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055006060050 + 50055006060051.

It is an arithmetic number, because the mean of its divisors is an integer number (50055006060051).

Almost surely, 2^{100110012120101} is an apocalyptic number.

It is an amenable number.

100110012120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110012120101 is an equidigital number, since it uses as much as digits as its factorization.

100110012120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110012120101 its reverse (101021210011001), we get a palindrome (201131222131102).

The spelling of 100110012120101 in words is "one hundred trillion, one hundred ten billion, twelve million, one hundred twenty thousand, one hundred one".