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102100012010001 = 3255795321371509
BaseRepresentation
bin10111001101110000000010…
…111100101000101000010001
3111101111122222101101220010100
4113031300002330220220101
5101340301311033310001
61001052033100123013
730335324322536355
oct2715600274505021
9441448871356110
10102100012010001
112a594410046385
12b54b7bb536469
1344c7cb3833455
141b2d94a16b465
15bc0cc7aaa586
hex5cdc02f28a11

102100012010001 has 24 divisors (see below), whose sum is σ = 147897602597160. Its totient is φ = 67873173854976.

The previous prime is 102100012009997. The next prime is 102100012010039. The reversal of 102100012010001 is 100010210001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50598003600 + 102049414006401 = 224940^2 + 10101951^2 .

It is not a de Polignac number, because 102100012010001 - 22 = 102100012009997 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 (102100012410001) 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, 5908366 + ... + 15463143.

It is an arithmetic number, because the mean of its divisors is an integer number (6162400108215).

Almost surely, 2102100012010001 is an apocalyptic number.

It is an amenable number.

102100012010001 is a deficient number, since it is larger than the sum of its proper divisors (45797590587159).

102100012010001 is a wasteful number, since it uses less digits than its factorization.

102100012010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21373025 (or 21373022 counting only the distinct ones).

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

Adding to 102100012010001 its reverse (100010210001201), we get a palindrome (202110222011202).

The spelling of 102100012010001 in words is "one hundred two trillion, one hundred billion, twelve million, ten thousand, one".

Divisors: 1 3 9 557 953 1671 2859 5013 8577 530821 1592463 4777389 21371509 64114527 192343581 11903930513 20367048077 35711791539 61101144231 107135374617 183303432693 11344445778889 34033337336667 102100012010001