102002010101220 has 192 divisors, whose sum is σ = 299679539281920. Its totient is φ = 25889176972800.

The previous prime is 102002010101183. The next prime is 102002010101221. The reversal of 102002010101220 is 22101010200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102002010101196 and 102002010101205.

It is not an unprimeable number, because it can be changed into a prime (102002010101221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448054761 + ... + 1448125199.

It is an arithmetic number, because the mean of its divisors is an integer number (1560830933760).

Almost surely, 2^{102002010101220} is an apocalyptic number.

102002010101220 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 102002010101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149839769640960).

102002010101220 is an abundant number, since it is smaller than the sum of its proper divisors (197677529180700).

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

102002010101220 is a wasteful number, since it uses less digits than its factorization.

102002010101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83306 (or 83304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002010101220 its reverse (22101010200201), we get a palindrome (124103020301421).

The spelling of 102002010101220 in words is "one hundred two trillion, two billion, ten million, one hundred one thousand, two hundred twenty".