101021101212200 has 192 divisors, whose sum is σ = 267162750489600. Its totient is φ = 35216326886400.

The previous prime is 101021101212151. The next prime is 101021101212247. The reversal of 101021101212200 is 2212101120101.

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, 10984505 + ... + 17963895.

It is an arithmetic number, because the mean of its divisors is an integer number (1391472658800).

Almost surely, 2^{101021101212200} is an apocalyptic number.

101021101212200 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 101021101212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133581375244800).

101021101212200 is an abundant number, since it is smaller than the sum of its proper divisors (166141649277400).

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

101021101212200 is a wasteful number, since it uses less digits than its factorization.

101021101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979732 (or 6979723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021101212200 its reverse (2212101120101), we get a palindrome (103233202332301).

The spelling of 101021101212200 in words is "one hundred one trillion, twenty-one billion, one hundred one million, two hundred twelve thousand, two hundred".