2111010102201 has 192 divisors, whose sum is σ = 3938607267840. Its totient is φ = 977627059200.

The previous prime is 2111010102167. The next prime is 2111010102247. The reversal of 2111010102201 is 1022010101112.

It is not a de Polignac number, because 2111010102201 - 2⁹ = 2111010101689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111010102281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 582667276 + ... + 582670898.

It is an arithmetic number, because the mean of its divisors is an integer number (20513579520).

Almost surely, 2^{2111010102201} is an apocalyptic number.

2111010102201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2111010102201 is a deficient number, since it is larger than the sum of its proper divisors (1827597165639).

2111010102201 is a wasteful number, since it uses less digits than its factorization.

2111010102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111010102201 its reverse (1022010101112), we get a palindrome (3133020203313).

The spelling of 2111010102201 in words is "two trillion, one hundred eleven billion, ten million, one hundred two thousand, two hundred one".