10012211202000 has 640 divisors, whose sum is σ = 37298906431488. Its totient is φ = 2263244544000.

The previous prime is 10012211201981. The next prime is 10012211202001. The reversal of 10012211202000 is 20211221001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012211202001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5351261065 + ... + 5351262935.

Almost surely, 2^{10012211202000} is an apocalyptic number.

10012211202000 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 10012211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649453215744).

10012211202000 is an abundant number, since it is smaller than the sum of its proper divisors (27286695229488).

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

10012211202000 is a wasteful number, since it uses less digits than its factorization.

10012211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3228 counting only the distinct ones).

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

Adding to 10012211202000 its reverse (20211221001), we get a palindrome (10032422423001).

The spelling of 10012211202000 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred two thousand".