2100112100101 has 2 divisors, whose sum is σ = 2100112100102. Its totient is φ = 2100112100100.

The previous prime is 2100112100081. The next prime is 2100112100153. The reversal of 2100112100101 is 1010012110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1782411904900 + 317700195201 = 1335070^2 + 563649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100112100101 - 2¹⁷ = 2100111969029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100112103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050056050050 + 1050056050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056050051).

Almost surely, 2^{2100112100101} is an apocalyptic number.

It is an amenable number.

2100112100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100112100101 is an equidigital number, since it uses as much as digits as its factorization.

2100112100101 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 10.

Adding to 2100112100101 its reverse (1010012110012), we get a palindrome (3110124210113).

The spelling of 2100112100101 in words is "two trillion, one hundred billion, one hundred twelve million, one hundred thousand, one hundred one".