100100111012101 has 2 divisors, whose sum is σ = 100100111012102. Its totient is φ = 100100111012100.

The previous prime is 100100111012089. The next prime is 100100111012113. The reversal of 100100111012101 is 101210111001001.

It is a balanced prime because it is at equal distance from previous prime (100100111012089) and next prime (100100111012113).

It can be written as a sum of positive squares in only one way, i.e., 61750144231876 + 38349966780225 = 7858126^2 + 6192735^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100111012101 - 2¹³ = 100100111003909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111022101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055506050 + 50050055506051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055506051).

Almost surely, 2^{100100111012101} is an apocalyptic number.

It is an amenable number.

100100111012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111012101 is an equidigital number, since it uses as much as digits as its factorization.

100100111012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100100111012101 its reverse (101210111001001), we get a palindrome (201310222013102).

The spelling of 100100111012101 in words is "one hundred trillion, one hundred billion, one hundred eleven million, twelve thousand, one hundred one".