101021022001200 has 480 divisors, whose sum is σ = 401856075120640. Its totient is φ = 21169575244800.

The previous prime is 101021022001189. The next prime is 101021022001201. The reversal of 101021022001200 is 2100220120101.

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 (101021022001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5261494 + ... + 15156693.

Almost surely, 2^{101021022001200} is an apocalyptic number.

101021022001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021022001200 is an abundant number, since it is smaller than the sum of its proper divisors (300835053119440).

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

101021022001200 is a wasteful number, since it uses less digits than its factorization.

101021022001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20418265 (or 20418254 counting only the distinct ones).

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

Adding to 101021022001200 its reverse (2100220120101), we get a palindrome (103121242121301).

The spelling of 101021022001200 in words is "one hundred one trillion, twenty-one billion, twenty-two million, one thousand, two hundred".