20000121100110 has 160 divisors (see below), whose sum is σ = 55111054676832. Its totient is φ = 5201272673280.

The previous prime is 20000121100109. The next prime is 20000121100123. The reversal of 20000121100110 is 1100112100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20000121100092 and 20000121100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86795509 + ... + 87025631.

Almost surely, 2^{20000121100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000121100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27555527338416).

20000121100110 is an abundant number, since it is smaller than the sum of its proper divisors (35110933576722).

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

20000121100110 is a wasteful number, since it uses less digits than its factorization.

20000121100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232800 (or 232791 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20000121100110 its reverse (1100112100002), we get a palindrome (21100233200112).

The spelling of 20000121100110 in words is "twenty trillion, one hundred twenty-one million, one hundred thousand, one hundred ten".