10001022122112 has 384 divisors, whose sum is σ = 31773586279680. Its totient is φ = 2777396428800.

The previous prime is 10001022121933. The next prime is 10001022122123. The reversal of 10001022122112 is 21122122010001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10001022122112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001022122091 and 10001022122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209040658 + ... + 209088494.

It is an arithmetic number, because the mean of its divisors is an integer number (82743714270).

Almost surely, 2^{10001022122112} is an apocalyptic number.

10001022122112 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 10001022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886793139840).

10001022122112 is an abundant number, since it is smaller than the sum of its proper divisors (21772564157568).

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

10001022122112 is a wasteful number, since it uses less digits than its factorization.

10001022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48180 (or 48161 counting only the distinct ones).

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

Adding to 10001022122112 its reverse (21122122010001), we get a palindrome (31123144132113).

The spelling of 10001022122112 in words is "ten trillion, one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".