2102201011101 has 16 divisors (see below), whose sum is σ = 3019072855040. Its totient is φ = 1296829018800.

The previous prime is 2102201011081. The next prime is 2102201011121. The reversal of 2102201011101 is 1011101022012.

It is an interprime number because it is at equal distance from previous prime (2102201011081) and next prime (2102201011121).

It is not a de Polignac number, because 2102201011101 - 2¹⁸ = 2102200748957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102201011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428843125 + ... + 428848026.

It is an arithmetic number, because the mean of its divisors is an integer number (188692053440).

Almost surely, 2^{2102201011101} is an apocalyptic number.

It is an amenable number.

2102201011101 is a deficient number, since it is larger than the sum of its proper divisors (916871843939).

2102201011101 is a wasteful number, since it uses less digits than its factorization.

2102201011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857691216.

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

Adding to 2102201011101 its reverse (1011101022012), we get a palindrome (3113302033113).

The spelling of 2102201011101 in words is "two trillion, one hundred two billion, two hundred one million, eleven thousand, one hundred one".