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100200102022111 = 7132855173856513
BaseRepresentation
bin10110110010000110100111…
…011111001100101111011111
3111010210000222101120110210211
4112302012213133030233133
5101113134302104201421
6553035142535313251
730051134636232640
oct2662064737145737
9433700871513724
10100200102022111
1129a21696420073
12b2a354b51b827
1343baaa1636120
141aa59d468d6c7
15b8b67bb979e1
hex5b21a77ccbdf

100200102022111 has 16 divisors (see below), whose sum is σ = 123323666396224. Its totient is φ = 79278903373824.

The previous prime is 100200102022087. The next prime is 100200102022123. The reversal of 100200102022111 is 111220201002001.

It is not a de Polignac number, because 100200102022111 - 29 = 100200102021599 is a prime.

It is a super-2 number, since 2×1002001020221112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100200102022091 and 100200102022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200102020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24053791 + ... + 27910303.

It is an arithmetic number, because the mean of its divisors is an integer number (7707729149764).

Almost surely, 2100200102022111 is an apocalyptic number.

100200102022111 is a deficient number, since it is larger than the sum of its proper divisors (23123564374113).

100200102022111 is a wasteful number, since it uses less digits than its factorization.

100200102022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142050.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100200102022111 its reverse (111220201002001), we get a palindrome (211420303024112).

The spelling of 100200102022111 in words is "one hundred trillion, two hundred billion, one hundred two million, twenty-two thousand, one hundred eleven".

Divisors: 1 7 13 91 285517 1998619 3711721 3856513 25982047 26995591 50134669 350942683 1101100022221 7707700155547 14314300288873 100200102022111