10202122011012 has 48 divisors (see below), whose sum is σ = 23980393120320. Its totient is φ = 3375647713792.

The previous prime is 10202122011001. The next prime is 10202122011013. The reversal of 10202122011012 is 21011022120201.

10202122011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10202122010982 and 10202122011000.

It is not an unprimeable number, because it can be changed into a prime (10202122011013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24033664 + ... + 24454472.

It is an arithmetic number, because the mean of its divisors is an integer number (499591523340).

Almost surely, 2^{10202122011012} is an apocalyptic number.

10202122011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202122011012 is an abundant number, since it is smaller than the sum of its proper divisors (13778271109308).

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

10202122011012 is a wasteful number, since it uses less digits than its factorization.

10202122011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435700 (or 435698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202122011012 its reverse (21011022120201), we get a palindrome (31213144131213).

The spelling of 10202122011012 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, twelve".