100011211220101 has 2 divisors, whose sum is σ = 100011211220102. Its totient is φ = 100011211220100.

The previous prime is 100011211220093. The next prime is 100011211220197. The reversal of 100011211220101 is 101022112110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90977736150625 + 9033475069476 = 9538225^2 + 3005574^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011211220101 - 2³ = 100011211220093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011211224101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005605610050 + 50005605610051.

It is an arithmetic number, because the mean of its divisors is an integer number (50005605610051).

Almost surely, 2^{100011211220101} is an apocalyptic number.

It is an amenable number.

100011211220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011211220101 is an equidigital number, since it uses as much as digits as its factorization.

100011211220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100011211220101 its reverse (101022112110001), we get a palindrome (201033323330102).

The spelling of 100011211220101 in words is "one hundred trillion, eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred one".