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100021200101 = 8910910310401
BaseRepresentation
bin101110100100110111…
…0100110010011100101
3100120011122112102022122
41131021232212103211
53114320411400401
6113541001235325
710140422113244
oct1351156462345
9316148472278
10100021200101
11394673a6049
1217474a92b45
139580023194
144babbbc95b
15290602621b
hex1749ba64e5

100021200101 has 8 divisors (see below), whose sum is σ = 102072979800. Its totient is φ = 97990041600.

The previous prime is 100021200079. The next prime is 100021200151. The reversal of 100021200101 is 101002120001.

It can be written as a sum of positive squares in 4 ways, for example, as 386908900 + 99634291201 = 19670^2 + 315649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021200101 - 218 = 100020937957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021200151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5145500 + ... + 5164901.

It is an arithmetic number, because the mean of its divisors is an integer number (12759122475).

Almost surely, 2100021200101 is an apocalyptic number.

It is an amenable number.

100021200101 is a deficient number, since it is larger than the sum of its proper divisors (2051779699).

100021200101 is a wasteful number, since it uses less digits than its factorization.

100021200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310599.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100021200101 its reverse (101002120001), we get a palindrome (201023320102).

The spelling of 100021200101 in words is "one hundred billion, twenty-one million, two hundred thousand, one hundred one".

Divisors: 1 89 109 9701 10310401 917625689 1123833709 100021200101