10200012010122 has 64 divisors (see below), whose sum is σ = 22509985650048. Its totient is φ = 3055534080000.

The previous prime is 10200012010037. The next prime is 10200012010189. The reversal of 10200012010122 is 22101021000201.

It is a super-4 number, since 4×10200012010122⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200012010098 and 10200012010107.

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 31 ways as a sum of consecutive naturals, for example, 3079338 + ... + 5466474.

It is an arithmetic number, because the mean of its divisors is an integer number (351718525782).

Almost surely, 2^{10200012010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200012010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11254992825024).

10200012010122 is an abundant number, since it is smaller than the sum of its proper divisors (12309973639926).

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

10200012010122 is a wasteful number, since it uses less digits than its factorization.

10200012010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387895.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200012010122 its reverse (22101021000201), we get a palindrome (32301033010323).

The spelling of 10200012010122 in words is "ten trillion, two hundred billion, twelve million, ten thousand, one hundred twenty-two".