20101212121122 has 24 divisors (see below), whose sum is σ = 47511955923120. Its totient is φ = 6091276400280.

The previous prime is 20101212121121. The next prime is 20101212121139. The reversal of 20101212121122 is 22112121210102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20101212121095 and 20101212121104.

It is not an unprimeable number, because it can be changed into a prime (20101212121121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50760636472 + ... + 50760636867.

It is an arithmetic number, because the mean of its divisors is an integer number (1979664830130).

Almost surely, 2^{20101212121122} is an apocalyptic number.

20101212121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20101212121122 is an abundant number, since it is smaller than the sum of its proper divisors (27410743801998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101212121122 is a wasteful number, since it uses less digits than its factorization.

20101212121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101521273358 (or 101521273355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20101212121122 its reverse (22112121210102), we get a palindrome (42213333331224).

The spelling of 20101212121122 in words is "twenty trillion, one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".