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102101221202220 = 223251015616128779
BaseRepresentation
bin10111001101110001001011…
…000001010101100100101100
3111101111210002122201020000100
4113031301023001111210230
5101340311300111432340
61001052353053231100
730335366304521202
oct2715611301254454
9441453078636010
10102101221202220
112a594980660399
12b54ba98492490
1344c81471c58c6
141b2da229b1072
15bc0d48d0e830
hex5cdc4b05592c

102101221202220 has 72 divisors (see below), whose sum is σ = 312773444015760. Its totient is φ = 26957418134400.

The previous prime is 102101221202173. The next prime is 102101221202243. The reversal of 102101221202220 is 22202122101201.

It is a happy number.

102101221202220 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 1 + 221 + 202 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102101221202193 and 102101221202202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808046210 + ... + 2808082569.

It is an arithmetic number, because the mean of its divisors is an integer number (4344075611330).

Almost surely, 2102101221202220 is an apocalyptic number.

102101221202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221202220 is an abundant number, since it is smaller than the sum of its proper divisors (210672222813540).

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

102101221202220 is a wasteful number, since it uses less digits than its factorization.

102101221202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616128895 (or 5616128890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102101221202220 its reverse (22202122101201), we get a palindrome (124303343303421).

The spelling of 102101221202220 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 5616128779 11232257558 16848386337 22464515116 28080643895 33696772674 50545159011 56161287790 67393545348 84241931685 101090318022 112322575580 168483863370 202180636044 252725795055 336967726740 505451590110 567229006679 1010903180220 1134458013358 1701687020037 2268916026716 2836145033395 3403374040074 5105061060111 5672290066790 6806748080148 8508435100185 10210122120222 11344580133580 17016870200370 20420244240444 25525305300555 34033740400740 51050610601110 102101221202220