20000212100121 has 64 divisors (see below), whose sum is σ = 30856922459136. Its totient is φ = 11388161433600.

The previous prime is 20000212100111. The next prime is 20000212100131. The reversal of 20000212100121 is 12100121200002.

It is an interprime number because it is at equal distance from previous prime (20000212100111) and next prime (20000212100131).

It is not a de Polignac number, because 20000212100121 - 2¹⁰ = 20000212099097 is a prime.

It is a super-2 number, since 2×20000212100121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20000212100097 and 20000212100106.

It is not an unprimeable number, because it can be changed into a prime (20000212100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199996786 + ... + 2200005876.

It is an arithmetic number, because the mean of its divisors is an integer number (482139413424).

Almost surely, 2^{20000212100121} is an apocalyptic number.

It is an amenable number.

20000212100121 is a deficient number, since it is larger than the sum of its proper divisors (10856710359015).

20000212100121 is a wasteful number, since it uses less digits than its factorization.

20000212100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622.

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

Adding to 20000212100121 its reverse (12100121200002), we get a palindrome (32100333300123).

It can be divided in two parts, 200002 and 12100121, that multiplied together give a palindrome (2420048400242).

The spelling of 20000212100121 in words is "twenty trillion, two hundred twelve million, one hundred thousand, one hundred twenty-one".