20121101101000 has 128 divisors (see below), whose sum is σ = 47990458994400. Its totient is φ = 7893502156800.

The previous prime is 20121101100977. The next prime is 20121101101037. The reversal of 20121101101000 is 10110112102.

It can be written as a sum of positive squares in 16 ways, for example, as 246748640644 + 19874352460356 = 496738^2 + 4458066^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138204244 + ... + 138349756.

Almost surely, 2^{20121101101000} is an apocalyptic number.

20121101101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995229497200).

20121101101000 is an abundant number, since it is smaller than the sum of its proper divisors (27869357893400).

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

20121101101000 is a wasteful number, since it uses less digits than its factorization.

20121101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148196 (or 148182 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20121101101000 its reverse (10110112102), we get a palindrome (20131211213102).

The spelling of 20121101101000 in words is "twenty trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand".