102000122201220 has 192 divisors, whose sum is σ = 296092801105920. Its totient is φ = 26208401587200.

The previous prime is 102000122201191. The next prime is 102000122201231. The reversal of 102000122201220 is 22102221000201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102000122201220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3744346800 + ... + 3744374040.

It is an arithmetic number, because the mean of its divisors is an integer number (1542150005760).

Almost surely, 2^{102000122201220} is an apocalyptic number.

102000122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000122201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148046400552960).

102000122201220 is an abundant number, since it is smaller than the sum of its proper divisors (194092678904700).

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

102000122201220 is a wasteful number, since it uses less digits than its factorization.

102000122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35946 (or 35944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102000122201220 its reverse (22102221000201), we get a palindrome (124102343201421).

The spelling of 102000122201220 in words is "one hundred two trillion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".