2121001020112 has 20 divisors (see below), whose sum is σ = 4425550205860. Its totient is φ = 978923547648.

The previous prime is 2121001020107. The next prime is 2121001020163. The reversal of 2121001020112 is 2110201001212.

It can be written as a sum of positive squares in 2 ways, for example, as 184439327296 + 1936561692816 = 429464^2 + 1391604^2 .

It is a super-2 number, since 2×2121001020112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2121001020092 and 2121001020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5098559937 + ... + 5098560352.

It is an arithmetic number, because the mean of its divisors is an integer number (221277510293).

Almost surely, 2^{2121001020112} is an apocalyptic number.

It is an amenable number.

2121001020112 is an abundant number, since it is smaller than the sum of its proper divisors (2304549185748).

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

2121001020112 is a wasteful number, since it uses less digits than its factorization.

2121001020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197120310 (or 10197120304 counting only the distinct ones).

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

Adding to 2121001020112 its reverse (2110201001212), we get a palindrome (4231202021324).

The spelling of 2121001020112 in words is "two trillion, one hundred twenty-one billion, one million, twenty thousand, one hundred twelve".