101210202000200 has 192 divisors, whose sum is σ = 242143658064000. Its totient is φ = 39318189926400.

The previous prime is 101210202000199. The next prime is 101210202000317. The reversal of 101210202000200 is 2000202012101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133523651 + ... + 3133555949.

It is an arithmetic number, because the mean of its divisors is an integer number (1261164885750).

Almost surely, 2^{101210202000200} is an apocalyptic number.

101210202000200 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 101210202000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121071829032000).

101210202000200 is an abundant number, since it is smaller than the sum of its proper divisors (140933456063800).

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

101210202000200 is a wasteful number, since it uses less digits than its factorization.

101210202000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34072 (or 34063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101210202000200 its reverse (2000202012101), we get a palindrome (103210404012301).

The spelling of 101210202000200 in words is "one hundred one trillion, two hundred ten billion, two hundred two million, two hundred", and thus it is an aban number.