2102100101101 has 16 divisors (see below), whose sum is σ = 2822400137088. Its totient is φ = 1512000072000.

The previous prime is 2102100101099. The next prime is 2102100101141. The reversal of 2102100101101 is 1011010012012.

It is not a de Polignac number, because 2102100101101 - 2¹ = 2102100101099 is a prime.

2102100101101 is a modest number, since divided by 101101 gives 21021 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102100101141) 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, 1049999050 + ... + 1050001051.

It is an arithmetic number, because the mean of its divisors is an integer number (176400008568).

Almost surely, 2^{2102100101101} is an apocalyptic number.

It is an amenable number.

2102100101101 is a deficient number, since it is larger than the sum of its proper divisors (720300035987).

2102100101101 is a wasteful number, since it uses less digits than its factorization.

2102100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100000132.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2102100101101 its reverse (1011010012012), we get a palindrome (3113110113113).

The spelling of 2102100101101 in words is "two trillion, one hundred two billion, one hundred million, one hundred one thousand, one hundred one".