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100122002001 = 3277549210523
BaseRepresentation
bin101110100111110111…
…1001000001001010001
3100120102200012200112100
41131033233020021101
53120022213031001
6113555001551013
710143054655320
oct1351757101121
9316380180470
10100122002001
1139509294aaa
12174a27a5469
139597b87988
144bbb33c0b7
15290ecd8586
hex174fbc8251

100122002001 has 24 divisors (see below), whose sum is σ = 165303444800. Its totient is φ = 57204722016.

The previous prime is 100122001963. The next prime is 100122002081. The reversal of 100122002001 is 100200221001.

It is a de Polignac number, because none of the positive numbers 2k-100122002001 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122002081) 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, 370326 + ... + 580848.

Almost surely, 2100122002001 is an apocalyptic number.

It is an amenable number.

100122002001 is a deficient number, since it is larger than the sum of its proper divisors (65181442799).

100122002001 is a wasteful number, since it uses less digits than its factorization.

100122002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218085 (or 218082 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100122002001 its reverse (100200221001), we get a palindrome (200322223002).

The spelling of 100122002001 in words is "one hundred billion, one hundred twenty-two million, two thousand, one".

Divisors: 1 3 7 9 21 63 7549 22647 52843 67941 158529 210523 475587 631569 1473661 1894707 4420983 13262949 1589238127 4767714381 11124666889 14303143143 33374000667 100122002001