10202210310012 has 192 divisors, whose sum is σ = 29521826611200. Its totient is φ = 2675498241024.

The previous prime is 10202210310001. The next prime is 10202210310101. The reversal of 10202210310012 is 21001301220201.

It is a junction number, because it is equal to n+sod(n) for n = 10202210309973 and 10202210310000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39599989 + ... + 39856787.

It is an arithmetic number, because the mean of its divisors is an integer number (153759513600).

Almost surely, 2^{10202210310012} is an apocalyptic number.

10202210310012 is a gapful number since it is divisible by the number (12) 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 10202210310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760913305600).

10202210310012 is an abundant number, since it is smaller than the sum of its proper divisors (19319616301188).

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

10202210310012 is a wasteful number, since it uses less digits than its factorization.

10202210310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257520 (or 257518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10202210310012 its reverse (21001301220201), we get a palindrome (31203511530213).

The spelling of 10202210310012 in words is "ten trillion, two hundred two billion, two hundred ten million, three hundred ten thousand, twelve".