102010303222002 has 144 divisors (see below), whose sum is σ = 260386463376000. Its totient is φ = 28774177024320.

The previous prime is 102010303221971. The next prime is 102010303222019. The reversal of 102010303222002 is 200222303010201.

102010303222002 is a `hidden beast` number, since 102 + 0 + 10 + 30 + 322 + 200 + 2 = 666.

It is a super-2 number, since 2×102010303222002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 815100352 + ... + 815225492.

It is an arithmetic number, because the mean of its divisors is an integer number (1808239329000).

Almost surely, 2^{102010303222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010303222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130193231688000).

102010303222002 is an abundant number, since it is smaller than the sum of its proper divisors (158376160153998).

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

102010303222002 is a wasteful number, since it uses less digits than its factorization.

102010303222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136941 (or 136931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102010303222002 its reverse (200222303010201), we get a palindrome (302232606232203).

The spelling of 102010303222002 in words is "one hundred two trillion, ten billion, three hundred three million, two hundred twenty-two thousand, two".