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100201022111 = 2916321197593
BaseRepresentation
bin101110101010001110…
…0100100001010011111
3100120122011220022202002
41131110130210022133
53120202430201421
6114010503352515
710145034430541
oct1352434441237
9316564808662
10100201022111
1139549956a83
121750515273b
1395ab364038
144bc7a2b691
152916be6b0b
hex175472429f

100201022111 has 8 divisors (see below), whose sum is σ = 104292162480. Its totient is φ = 96152277312.

The previous prime is 100201022059. The next prime is 100201022113. The reversal of 100201022111 is 111220102001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100201022111 is a prime.

It is a super-2 number, since 2×1002010221112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201022092 and 100201022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201022113) 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 7 ways as a sum of consecutive naturals, for example, 10594070 + ... + 10603523.

It is an arithmetic number, because the mean of its divisors is an integer number (13036520310).

Almost surely, 2100201022111 is an apocalyptic number.

100201022111 is a deficient number, since it is larger than the sum of its proper divisors (4091140369).

100201022111 is a wasteful number, since it uses less digits than its factorization.

100201022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197785.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201022111 its reverse (111220102001), we get a palindrome (211421124112).

The spelling of 100201022111 in words is "one hundred billion, two hundred one million, twenty-two thousand, one hundred eleven".

Divisors: 1 29 163 4727 21197593 614730197 3455207659 100201022111