10021012122000 has 480 divisors, whose sum is σ = 35536641259392. Its totient is φ = 2427638400000.

The previous prime is 10021012121999. The next prime is 10021012122097. The reversal of 10021012122000 is 22121012001.

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 95 ways as a sum of consecutive naturals, for example, 1268318050 + ... + 1268325950.

Almost surely, 2^{10021012122000} is an apocalyptic number.

10021012122000 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 10021012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768320629696).

10021012122000 is an abundant number, since it is smaller than the sum of its proper divisors (25515629137392).

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

10021012122000 is a wasteful number, since it uses less digits than its factorization.

10021012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 9669 counting only the distinct ones).

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

Adding to 10021012122000 its reverse (22121012001), we get a palindrome (10043133134001).

The spelling of 10021012122000 in words is "ten trillion, twenty-one billion, twelve million, one hundred twenty-two thousand".