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1002021101100 = 2232521398009761
BaseRepresentation
bin11101001010011010001…
…11001001111000101100
310112210101120110222222100
432211031013021320230
5112404114400213400
62044153325415100
7132252005554035
oct16451507117054
93483346428870
101002021101100
11356a55875088
12142246a0a490
137364ac20556
14366d8a35a8c
151b0e8de6100
hexe94d1c9e2c

1002021101100 has 108 divisors (see below), whose sum is σ = 3163375404280. Its totient is φ = 265283251200.

The previous prime is 1002021101093. The next prime is 1002021101183. The reversal of 1002021101100 is 11011202001.

It is a happy number.

1002021101100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3879781 + ... + 4129980.

Almost surely, 21002021101100 is an apocalyptic number.

1002021101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021101100 is an abundant number, since it is smaller than the sum of its proper divisors (2161354303180).

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

1002021101100 is a wasteful number, since it uses less digits than its factorization.

1002021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009920 (or 8009910 counting only the distinct ones).

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

Adding to 1002021101100 its reverse (11011202001), we get a palindrome (1013032303101).

The spelling of 1002021101100 in words is "one trillion, two billion, twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 139 150 180 225 278 300 417 450 556 695 834 900 1251 1390 1668 2085 2502 2780 3475 4170 5004 6255 6950 8340 10425 12510 13900 20850 25020 31275 41700 62550 125100 8009761 16019522 24029283 32039044 40048805 48058566 72087849 80097610 96117132 120146415 144175698 160195220 200244025 240292830 288351396 360439245 400488050 480585660 600732075 720878490 800976100 1113356779 1201464150 1441756980 1802196225 2226713558 2402928300 3340070337 3604392450 4453427116 5566783895 6680140674 7208784900 10020211011 11133567790 13360281348 16700351685 20040422022 22267135580 27833919475 33400703370 40080844044 50101055055 55667838950 66801406740 83501758425 100202110110 111335677900 167003516850 200404220220 250505275275 334007033700 501010550550 1002021101100