102100221020000 has 180 divisors, whose sum is σ = 292191144606900. Its totient is φ = 35005789728000.

The previous prime is 102100221019997. The next prime is 102100221020009. The reversal of 102100221020000 is 20122001201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100221020009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 51111950 + ... + 53071949.

It is an arithmetic number, because the mean of its divisors is an integer number (1623284136705).

Almost surely, 2^{102100221020000} is an apocalyptic number.

102100221020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100221020000 is an abundant number, since it is smaller than the sum of its proper divisors (190090923586900).

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

102100221020000 is an equidigital number, since it uses as much as digits as its factorization.

102100221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104183943 (or 104183913 counting only the distinct ones).

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

Adding to 102100221020000 its reverse (20122001201), we get a palindrome (102120343021201).

The spelling of 102100221020000 in words is "one hundred two trillion, one hundred billion, two hundred twenty-one million, twenty thousand".