102010232204001 has 144 divisors (see below), whose sum is σ = 171911113277904. Its totient is φ = 58044349440000.

The previous prime is 102010232203993. The next prime is 102010232204021. The reversal of 102010232204001 is 100402232010201.

It is a happy number.

102010232204001 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 10 + 232 + 20 + 400 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3070208344401 + 98940023859600 = 1752201^2 + 9946860^2 .

It is not a de Polignac number, because 102010232204001 - 2³ = 102010232203993 is a prime.

It is a super-3 number, since 3×102010232204001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010232204021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17768718991 + ... + 17768724731.

It is an arithmetic number, because the mean of its divisors is an integer number (1193827175541).

Almost surely, 2^{102010232204001} is an apocalyptic number.

102010232204001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102010232204001 is a deficient number, since it is larger than the sum of its proper divisors (69900881073903).

102010232204001 is a wasteful number, since it uses less digits than its factorization.

102010232204001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102010232204001 its reverse (100402232010201), we get a palindrome (202412464214202).

The spelling of 102010232204001 in words is "one hundred two trillion, ten billion, two hundred thirty-two million, two hundred four thousand, one".