102201100000120 has 32 divisors (see below), whose sum is σ = 250857245455920. Its totient is φ = 37164036363520.

The previous prime is 102201100000019. The next prime is 102201100000121. The reversal of 102201100000120 is 21000001102201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102201100000097 and 102201100000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201100000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116137613197 + ... + 116137614076.

Almost surely, 2^{102201100000120} is an apocalyptic number.

102201100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201100000120 is an abundant number, since it is smaller than the sum of its proper divisors (148656145455800).

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

102201100000120 is a wasteful number, since it uses less digits than its factorization.

102201100000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232275227295 (or 232275227291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102201100000120 its reverse (21000001102201), we get a palindrome (123201101102321).

The spelling of 102201100000120 in words is "one hundred two trillion, two hundred one billion, one hundred million, one hundred twenty", and thus it is an aban number.