102120201000220 has 96 divisors (see below), whose sum is σ = 242415991601280. Its totient is φ = 36066532170240.

The previous prime is 102120201000217. The next prime is 102120201000221. The reversal of 102120201000220 is 22000102021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102120201000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120201000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49512921 + ... + 51534160.

It is an arithmetic number, because the mean of its divisors is an integer number (2525166579180).

Almost surely, 2^{102120201000220} is an apocalyptic number.

102120201000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120201000220 is an abundant number, since it is smaller than the sum of its proper divisors (140295790601060).

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

102120201000220 is a wasteful number, since it uses less digits than its factorization.

102120201000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101047152 (or 101047124 counting only the distinct ones).

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

Adding to 102120201000220 its reverse (22000102021201), we get a palindrome (124120303021421).

The spelling of 102120201000220 in words is "one hundred two trillion, one hundred twenty billion, two hundred one million, two hundred twenty", and thus it is an aban number.