2112102101201 has 4 divisors (see below), whose sum is σ = 2169185941812. Its totient is φ = 2055018260592.

The previous prime is 2112102101171. The next prime is 2112102101227. The reversal of 2112102101201 is 1021012012112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1932475318225 + 179626782976 = 1390135^2 + 423824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112102101201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112102107201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28541920250 + ... + 28541920323.

It is an arithmetic number, because the mean of its divisors is an integer number (542296485453).

Almost surely, 2^{2112102101201} is an apocalyptic number.

It is an amenable number.

2112102101201 is a deficient number, since it is larger than the sum of its proper divisors (57083840611).

2112102101201 is an equidigital number, since it uses as much as digits as its factorization.

2112102101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57083840610.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112102101201 its reverse (1021012012112), we get a palindrome (3133114113313).

It can be divided in two parts, 2112 and 102101201, that multiplied together give a palindrome (215637736512).

The spelling of 2112102101201 in words is "two trillion, one hundred twelve billion, one hundred two million, one hundred one thousand, two hundred one".