102110000201001 has 24 divisors (see below), whose sum is σ = 159237873321800. Its totient is φ = 62678643768576.

The previous prime is 102110000200987. The next prime is 102110000201017. The reversal of 102110000201001 is 100102000011201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37855539225 + 102072144661776 = 194565^2 + 10103076^2 .

It is not a de Polignac number, because 102110000201001 - 2⁶ = 102110000200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102110000201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099116076 + ... + 1099208973.

Almost surely, 2^{102110000201001} is an apocalyptic number.

It is an amenable number.

102110000201001 is a deficient number, since it is larger than the sum of its proper divisors (57127873120799).

102110000201001 is a wasteful number, since it uses less digits than its factorization.

102110000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198325465 (or 2198325462 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110000201001 its reverse (100102000011201), we get a palindrome (202212000212202).

The spelling of 102110000201001 in words is "one hundred two trillion, one hundred ten billion, two hundred one thousand, one".