20102210112101 has 48 divisors (see below), whose sum is σ = 22307165112960. Its totient is φ = 18103118042880.

The previous prime is 20102210112011. The next prime is 20102210112121. The reversal of 20102210112101 is 10121101220102.

It is not a de Polignac number, because 20102210112101 - 2²⁶ = 20102143003237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102210112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337091555 + ... + 337151183.

It is an arithmetic number, because the mean of its divisors is an integer number (464732606520).

Almost surely, 2^{20102210112101} is an apocalyptic number.

It is an amenable number.

20102210112101 is a deficient number, since it is larger than the sum of its proper divisors (2204955000859).

20102210112101 is a wasteful number, since it uses less digits than its factorization.

20102210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60046 (or 60033 counting only the distinct ones).

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

Adding to 20102210112101 its reverse (10121101220102), we get a palindrome (30223311332203).

The spelling of 20102210112101 in words is "twenty trillion, one hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred one".