102010020011001 has 24 divisors (see below), whose sum is σ = 151203253265064. Its totient is φ = 66232992522240.

The previous prime is 102010020010993. The next prime is 102010020011033. The reversal of 102010020011001 is 100110020010201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38060250151401 + 63949769859600 = 6169299^2 + 7996860^2 .

It is not a de Polignac number, because 102010020011001 - 2³ = 102010020010993 is a prime.

It is a super-2 number, since 2×102010020011001² (a number of 29 digits) contains 22 as substring.

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 (102010025011001) 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, 239345076 + ... + 239770901.

It is an arithmetic number, because the mean of its divisors is an integer number (6300135552711).

Almost surely, 2^{102010020011001} is an apocalyptic number.

It is an amenable number.

102010020011001 is a deficient number, since it is larger than the sum of its proper divisors (49193233254063).

102010020011001 is a wasteful number, since it uses less digits than its factorization.

102010020011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479116601 (or 479116598 counting only the distinct ones).

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

Adding to 102010020011001 its reverse (100110020010201), we get a palindrome (202120040021202).

The spelling of 102010020011001 in words is "one hundred two trillion, ten billion, twenty million, eleven thousand, one".