10212102201000 has 384 divisors, whose sum is σ = 37072618876800. Its totient is φ = 2333631820800.

The previous prime is 10212102200987. The next prime is 10212102201001. The reversal of 10212102201000 is 10220121201.

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

It is not an unprimeable number, because it can be changed into a prime (10212102201001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106758387 + ... + 1106767613.

It is an arithmetic number, because the mean of its divisors is an integer number (96543278325).

Almost surely, 2^{10212102201000} is an apocalyptic number.

10212102201000 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 10212102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536309438400).

10212102201000 is an abundant number, since it is smaller than the sum of its proper divisors (26860516675800).

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

10212102201000 is a wasteful number, since it uses less digits than its factorization.

10212102201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794 (or 16773 counting only the distinct ones).

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

Adding to 10212102201000 its reverse (10220121201), we get a palindrome (10222322322201).

The spelling of 10212102201000 in words is "ten trillion, two hundred twelve billion, one hundred two million, two hundred one thousand".