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100102212021 = 3717601466553
BaseRepresentation
bin101110100111010001…
…1101000100110110101
3100120101021222020210010
41131032203220212311
53120002131241041
6113553013450433
710142424522510
oct1351643504665
9316337866703
10100102212021
11394a90a8549
1217498040a19
139593a49026
144bb8869d77
15290d1c9a16
hex174e8e89b5

100102212021 has 32 divisors (see below), whose sum is σ = 161778532608. Its totient is φ = 53746790400.

The previous prime is 100102212011. The next prime is 100102212031. The reversal of 100102212021 is 120212201001.

It is an interprime number because it is at equal distance from previous prime (100102212011) and next prime (100102212031).

It is not a de Polignac number, because 100102212021 - 219 = 100101687733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102211988 and 100102212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102212011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18720 + ... + 447833.

It is an arithmetic number, because the mean of its divisors is an integer number (5055579144).

Almost surely, 2100102212021 is an apocalyptic number.

It is an amenable number.

100102212021 is a deficient number, since it is larger than the sum of its proper divisors (61676320587).

100102212021 is a wasteful number, since it uses less digits than its factorization.

100102212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467181.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102212021 its reverse (120212201001), we get a palindrome (220314413022).

The spelling of 100102212021 in words is "one hundred billion, one hundred two million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 17 21 51 119 357 601 1803 4207 10217 12621 30651 71519 214557 466553 1399659 3265871 7931401 9797613 23794203 55519807 166559421 280398353 841195059 1962788471 4766772001 5888365413 14300316003 33367404007 100102212021