20001021012112 has 120 divisors (see below), whose sum is σ = 46826786163960. Its totient is φ = 8241940869120.

The previous prime is 20001021012109. The next prime is 20001021012211. The reversal of 20001021012112 is 21121012010002.

It can be written as a sum of positive squares in 4 ways, for example, as 10251164641536 + 9749856370576 = 3201744^2 + 3122476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20001021012092 and 20001021012101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654258 + ... + 7304494.

It is an arithmetic number, because the mean of its divisors is an integer number (390223218033).

Almost surely, 2^{20001021012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001021012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23413393081980).

20001021012112 is an abundant number, since it is smaller than the sum of its proper divisors (26825765151848).

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

20001021012112 is a wasteful number, since it uses less digits than its factorization.

20001021012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650529 (or 3650516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20001021012112 its reverse (21121012010002), we get a palindrome (41122033022114).

The spelling of 20001021012112 in words is "twenty trillion, one billion, twenty-one million, twelve thousand, one hundred twelve".