20101202121 has 128 divisors (see below), whose sum is σ = 37267034112. Its totient is φ = 9300096000.

The previous prime is 20101202117. The next prime is 20101202161. The reversal of 20101202121 is 12120210102.

It is not a de Polignac number, because 20101202121 - 2² = 20101202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101202097 and 20101202106.

It is not an unprimeable number, because it can be changed into a prime (20101202161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14554851 + ... + 14556231.

It is an arithmetic number, because the mean of its divisors is an integer number (291148704).

Almost surely, 2^20101202121 is an apocalyptic number.

20101202121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20101202121 is a deficient number, since it is larger than the sum of its proper divisors (17165831991).

20101202121 is a wasteful number, since it uses less digits than its factorization.

20101202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101202121 its reverse (12120210102), we get a palindrome (32221412223).

It can be divided in two parts, 20101 and 202121, that added together give a palindrome (222222).

The spelling of 20101202121 in words is "twenty billion, one hundred one million, two hundred two thousand, one hundred twenty-one".