102201111120020 has 48 divisors (see below), whose sum is σ = 234785637072000. Its totient is φ = 37060519374720.

The previous prime is 102201111119969. The next prime is 102201111120041. The reversal of 102201111120020 is 20021111102201.

It is a super-2 number, since 2×102201111120020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201111119977 and 102201111120004.

It is a congruent number.

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, 646927295 + ... + 647085254.

It is an arithmetic number, because the mean of its divisors is an integer number (4891367439000).

Almost surely, 2^{102201111120020} is an apocalyptic number.

102201111120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201111120020 is an abundant number, since it is smaller than the sum of its proper divisors (132584525951980).

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

102201111120020 is a wasteful number, since it uses less digits than its factorization.

102201111120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294012928 (or 1294012926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201111120020 its reverse (20021111102201), we get a palindrome (122222222222221).

The spelling of 102201111120020 in words is "one hundred two trillion, two hundred one billion, one hundred eleven million, one hundred twenty thousand, twenty".