102010221331002 has 48 divisors (see below), whose sum is σ = 226996959538440. Its totient is φ = 33084215116416.

The previous prime is 102010221330931. The next prime is 102010221331013. The reversal of 102010221331002 is 200133122010201.

102010221331002 is a `hidden beast` number, since 102 + 0 + 10 + 221 + 331 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90267461844561 + 11742759486441 = 9500919^2 + 3426771^2 .

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 23 ways as a sum of consecutive naturals, for example, 179155468 + ... + 179723960.

Almost surely, 2^{102010221331002} is an apocalyptic number.

102010221331002 is an abundant number, since it is smaller than the sum of its proper divisors (124986738207438).

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

102010221331002 is a wasteful number, since it uses less digits than its factorization.

102010221331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837967 (or 837964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102010221331002 its reverse (200133122010201), we get a palindrome (302143343341203).

The spelling of 102010221331002 in words is "one hundred two trillion, ten billion, two hundred twenty-one million, three hundred thirty-one thousand, two".