102211021202000 has 120 divisors (see below), whose sum is σ = 251897383603320. Its totient is φ = 40113002342400.

The previous prime is 102211021201999. The next prime is 102211021202023. The reversal of 102211021202000 is 202120112201.

It can be written as a sum of positive squares in 12 ways, for example, as 40860834493504 + 61350186708496 = 6392248^2 + 7832636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3478745 + ... + 14714744.

It is an arithmetic number, because the mean of its divisors is an integer number (2099144863361).

Almost surely, 2^{102211021202000} is an apocalyptic number.

102211021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211021202000 is an abundant number, since it is smaller than the sum of its proper divisors (149686362401320).

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

102211021202000 is an equidigital number, since it uses as much as digits as its factorization.

102211021202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18193618 (or 18193549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211021202000 its reverse (202120112201), we get a palindrome (102413141314201).

The spelling of 102211021202000 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, two hundred two thousand".