101022021200000 has 192 divisors, whose sum is σ = 251584807307400. Its totient is φ = 40403604480000.

The previous prime is 101022021199999. The next prime is 101022021200011. The reversal of 101022021200000 is 2120220101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 80932478077504 + 20089543122496 = 8996248^2 + 4482136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5123590142 + ... + 5123609858.

Almost surely, 2^{101022021200000} is an apocalyptic number.

101022021200000 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 101022021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125792403653700).

101022021200000 is an abundant number, since it is smaller than the sum of its proper divisors (150562786107400).

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

101022021200000 is an frugal number, since it uses more digits than its factorization.

101022021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32565 (or 32533 counting only the distinct ones).

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

Adding to 101022021200000 its reverse (2120220101), we get a palindrome (101024141420101).

The spelling of 101022021200000 in words is "one hundred one trillion, twenty-two billion, twenty-one million, two hundred thousand".