2112022100101 has 2 divisors, whose sum is σ = 2112022100102. Its totient is φ = 2112022100100.

The previous prime is 2112022100087. The next prime is 2112022100107. The reversal of 2112022100101 is 1010012202112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2042824167076 + 69197933025 = 1429274^2 + 263055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112022100101 - 2²¹ = 2112020002949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112022100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056011050050 + 1056011050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1056011050051).

Almost surely, 2^{2112022100101} is an apocalyptic number.

It is an amenable number.

2112022100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112022100101 is an equidigital number, since it uses as much as digits as its factorization.

2112022100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112022100101 its reverse (1010012202112), we get a palindrome (3122034302213).

The spelling of 2112022100101 in words is "two trillion, one hundred twelve billion, twenty-two million, one hundred thousand, one hundred one".