101222021002000 has 80 divisors (see below), whose sum is σ = 245084264710272. Its totient is φ = 40434314121600.

The previous prime is 101222021001989. The next prime is 101222021002111. The reversal of 101222021002000 is 200120222101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32572554 + ... + 35544553.

Almost surely, 2^{101222021002000} is an apocalyptic number.

101222021002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222021002000 is an abundant number, since it is smaller than the sum of its proper divisors (143862243708272).

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

101222021002000 is an equidigital number, since it uses as much as digits as its factorization.

101222021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68117873 (or 68117857 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222021002000 its reverse (200120222101), we get a palindrome (101422141224101).

The spelling of 101222021002000 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, two thousand".