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100102020001101 = 3419124215236579
BaseRepresentation
bin10110110000101011010001…
…010101111110110101001101
3111010102122210212221120010000
4112300223101111332311031
5101110032414110013401
6552522122205234513
730041063241634626
oct2660532125766515
9433378725846100
10100102020001101
11299940346aaa78
12b288537b62a39
1343b17702b37c1
141aa0d6c256a4d
15b88d3b01d186
hex5b0ad157ed4d

100102020001101 has 40 divisors (see below), whose sum is σ = 157418088159200. Its totient is φ = 63217226394720.

The previous prime is 100102020001097. The next prime is 100102020001219. The reversal of 100102020001101 is 101100020201001.

It is a happy number.

It is not a de Polignac number, because 100102020001101 - 22 = 100102020001097 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102020003101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16497630 + ... + 21734208.

It is an arithmetic number, because the mean of its divisors is an integer number (3935452203980).

Almost surely, 2100102020001101 is an apocalyptic number.

It is an amenable number.

100102020001101 is a deficient number, since it is larger than the sum of its proper divisors (57316068158099).

100102020001101 is a wasteful number, since it uses less digits than its factorization.

100102020001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249031 (or 5249022 counting only the distinct ones).

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

Adding to 100102020001101 its reverse (101100020201001), we get a palindrome (201202040202102).

The spelling of 100102020001101 in words is "one hundred trillion, one hundred two billion, twenty million, one thousand, one hundred one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 12421 37263 111789 235999 335367 707997 1006101 2123991 5236579 6371973 15709737 19115919 47129211 99495001 141387633 298485003 424162899 895455009 2686365027 8059095081 65043547759 195130643277 585391929831 1235827407421 1756175789493 3707482222263 5268527368479 11122446666789 33367340000367 100102020001101