10202122100212 has 96 divisors (see below), whose sum is σ = 21686913561600. Its totient is φ = 4101982518528.

The previous prime is 10202122100207. The next prime is 10202122100213. The reversal of 10202122100212 is 21200122120201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160436968 + ... + 160500544.

It is an arithmetic number, because the mean of its divisors is an integer number (225905349600).

Almost surely, 2^{10202122100212} 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 10202122100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10843456780800).

10202122100212 is an abundant number, since it is smaller than the sum of its proper divisors (11484791461388).

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

10202122100212 is a wasteful number, since it uses less digits than its factorization.

10202122100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66533 (or 66531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10202122100212 its reverse (21200122120201), we get a palindrome (31402244220413).

The spelling of 10202122100212 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".