2102202110101 has 16 divisors (see below), whose sum is σ = 2274962544000. Its totient is φ = 1935234436608.

The previous prime is 2102202109967. The next prime is 2102202110123. The reversal of 2102202110101 is 1010112022012.

It is a cyclic number.

It is not a de Polignac number, because 2102202110101 - 2⁹ = 2102202109589 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 (2102232110101) 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, 5066520 + ... + 5465713.

It is an arithmetic number, because the mean of its divisors is an integer number (142185159000).

Almost surely, 2^{2102202110101} is an apocalyptic number.

It is an amenable number.

2102202110101 is a deficient number, since it is larger than the sum of its proper divisors (172760433899).

2102202110101 is a wasteful number, since it uses less digits than its factorization.

2102202110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532508.

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

Adding to 2102202110101 its reverse (1010112022012), we get a palindrome (3112314132113).

The spelling of 2102202110101 in words is "two trillion, one hundred two billion, two hundred two million, one hundred ten thousand, one hundred one".