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100321100121 = 31121609171763
BaseRepresentation
bin101110101101110011…
…0101000000101011001
3100120221112211220210210
41131123212220011121
53120424200200441
6114030433201333
710151023165314
oct1353346500531
9316845756723
10100321100121
1139600711400
1217539400249
1395ca1b7608
144bd996797b
152922515616
hex175b9a8159

100321100121 has 24 divisors (see below), whose sum is σ = 147119301280. Its totient is φ = 60762525120.

The previous prime is 100321100101. The next prime is 100321100147. The reversal of 100321100121 is 121001123001.

It is not a de Polignac number, because 100321100121 - 29 = 100321099609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100321100097 and 100321100106.

It is not an unprimeable number, because it can be changed into a prime (100321100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498186 + ... + 669948.

Almost surely, 2100321100121 is an apocalyptic number.

100321100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100321100121 is a deficient number, since it is larger than the sum of its proper divisors (46798201159).

100321100121 is a wasteful number, since it uses less digits than its factorization.

100321100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173397 (or 173386 counting only the distinct ones).

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

Adding to 100321100121 its reverse (121001123001), we get a palindrome (221322223122).

The spelling of 100321100121 in words is "one hundred billion, three hundred twenty-one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 363 1609 4827 17699 53097 171763 194689 515289 584067 1889393 5668179 20783323 62349969 276366667 829100001 3040033337 9120100011 33440366707 100321100121