10101322202112 has 264 divisors, whose sum is σ = 29267774115840. Its totient is φ = 3355536138240.

The previous prime is 10101322202089. The next prime is 10101322202137. The reversal of 10101322202112 is 21120222310101.

10101322202112 is a `hidden beast` number, since 10 + 101 + 322 + 20 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5398888537 + ... + 5398890407.

Almost surely, 2^{10101322202112} is an apocalyptic number.

10101322202112 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 10101322202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633887057920).

10101322202112 is an abundant number, since it is smaller than the sum of its proper divisors (19166451913728).

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

10101322202112 is a wasteful number, since it uses less digits than its factorization.

10101322202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10101322202112 its reverse (21120222310101), we get a palindrome (31221544512213).

The spelling of 10101322202112 in words is "ten trillion, one hundred one billion, three hundred twenty-two million, two hundred two thousand, one hundred twelve".