10012122021000 has 512 divisors, whose sum is σ = 35215878297600. Its totient is φ = 2347228800000.

The previous prime is 10012122020951. The next prime is 10012122021017. The reversal of 10012122021000 is 12022121001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143284071 + ... + 143353929.

It is an arithmetic number, because the mean of its divisors is an integer number (68781012300).

Almost surely, 2^{10012122021000} is an apocalyptic number.

10012122021000 is a gapful number since it is divisible by the number (10) 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 10012122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607939148800).

10012122021000 is an abundant number, since it is smaller than the sum of its proper divisors (25203756276600).

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

10012122021000 is a wasteful number, since it uses less digits than its factorization.

10012122021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70038 (or 70024 counting only the distinct ones).

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

Adding to 10012122021000 its reverse (12022121001), we get a palindrome (10024144142001).

The spelling of 10012122021000 in words is "ten trillion, twelve billion, one hundred twenty-two million, twenty-one thousand".