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102010100000 = 25551020101
BaseRepresentation
bin101111100000001000…
…1101001100100100000
3100202022021000000001212
41133000101221210200
53132404041200000
6114510210245252
710240622354234
oct1370021514440
9322267000055
10102010100000
113a298050a76
121792ab86828
1398090b2023
144d19dc85c4
1529c0944c35
hex17c0469920

102010100000 has 72 divisors (see below), whose sum is σ = 251024659956. Its totient is φ = 40804000000.

The previous prime is 102010099999. The next prime is 102010100041. The reversal of 102010100000 is 1010201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 139334416 + 101870765584 = 11804^2 + 319172^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410051 + ... + 610050.

Almost surely, 2102010100000 is an apocalyptic number.

102010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010100000 is an abundant number, since it is smaller than the sum of its proper divisors (149014559956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102010100000 is an frugal number, since it uses more digits than its factorization.

102010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020136 (or 1020108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 102010100000 its reverse (1010201), we get a palindrome (102011110201).

The spelling of 102010100000 in words is "one hundred two billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1020101 2040202 4080404 5100505 8160808 10201010 16321616 20402020 25502525 32643232 40804040 51005050 81608080 102010100 127512625 163216160 204020200 255025250 408040400 510050500 637563125 816080800 1020101000 1275126250 2040202000 2550252500 3187815625 4080404000 5100505000 6375631250 10201010000 12751262500 20402020000 25502525000 51005050000 102010100000