102002212010120 has 64 divisors (see below), whose sum is σ = 229576435930800. Its totient is φ = 40788183121920.

The previous prime is 102002212010119. The next prime is 102002212010129. The reversal of 102002212010120 is 21010212200201.

It can be written as a sum of positive squares in 8 ways, for example, as 13863424583044 + 88138787427076 = 3723362^2 + 9388226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002212010095 and 102002212010104.

It is not an unprimeable number, because it can be changed into a prime (102002212010129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959407132 + ... + 1959459188.

Almost surely, 2^{102002212010120} is an apocalyptic number.

102002212010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002212010120 is an abundant number, since it is smaller than the sum of its proper divisors (127574223920680).

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

102002212010120 is a wasteful number, since it uses less digits than its factorization.

102002212010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66378 (or 66374 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002212010120 its reverse (21010212200201), we get a palindrome (123012424210321).

The spelling of 102002212010120 in words is "one hundred two trillion, two billion, two hundred twelve million, ten thousand, one hundred twenty".