20120101102101 has 128 divisors (see below), whose sum is σ = 37408360550400. Its totient is φ = 9281764546560.

The previous prime is 20120101102093. The next prime is 20120101102109. The reversal of 20120101102101 is 10120110102102.

It is an interprime number because it is at equal distance from previous prime (20120101102093) and next prime (20120101102109).

It is not a de Polignac number, because 20120101102101 - 2³ = 20120101102093 is a prime.

It is a super-2 number, since 2×20120101102101² (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 (20120101102109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8871570 + ... + 10906188.

It is an arithmetic number, because the mean of its divisors is an integer number (292252816800).

Almost surely, 2^{20120101102101} is an apocalyptic number.

20120101102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20120101102101 is a deficient number, since it is larger than the sum of its proper divisors (17288259448299).

20120101102101 is a wasteful number, since it uses less digits than its factorization.

20120101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034779.

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

Adding to 20120101102101 its reverse (10120110102102), we get a palindrome (30240211204203).

Subtracting from 20120101102101 its reverse (10120110102102), we obtain a palindrome (9999990999999).

It can be divided in two parts, 20120101 and 102101, that added together give a palindrome (20222202).

The spelling of 20120101102101 in words is "twenty trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, one hundred one".