20121100102101 has 64 divisors (see below), whose sum is σ = 29416002702336. Its totient is φ = 12182302540800.

The previous prime is 20121100102097. The next prime is 20121100102121. The reversal of 20121100102101 is 10120100112102.

It is not a de Polignac number, because 20121100102101 - 2² = 20121100102097 is a prime.

It is a super-2 number, since 2×20121100102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121100102121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112589146 + ... + 112767716.

It is an arithmetic number, because the mean of its divisors is an integer number (459625042224).

Almost surely, 2^{20121100102101} is an apocalyptic number.

It is an amenable number.

20121100102101 is a deficient number, since it is larger than the sum of its proper divisors (9294902600235).

20121100102101 is a wasteful number, since it uses less digits than its factorization.

20121100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179122.

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

Adding to 20121100102101 its reverse (10120100112102), we get a palindrome (30241200214203).

The spelling of 20121100102101 in words is "twenty trillion, one hundred twenty-one billion, one hundred million, one hundred two thousand, one hundred one".