Search a number
-
+
102201012102101 = 1137251108137843
BaseRepresentation
bin10111001111001110000111…
…000001011010001111010101
3111101212022200020220011211012
4113033032013001122033111
5101343430133044231401
61001210255150422005
730345531232261313
oct2717160701321725
9441768606804735
10102201012102101
112a623229a58480
12b5672a8201905
13450468b5b2c63
141b347abd610b3
15bc37399e38bb
hex5cf38705a3d5

102201012102101 has 8 divisors (see below), whose sum is σ = 114505310856864. Its totient is φ = 90398929623120.

The previous prime is 102201012102097. The next prime is 102201012102113. The reversal of 102201012102101 is 101201210102201.

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 102201012102101 - 22 = 102201012102097 is a prime.

It is a super-3 number, since 3×1022010121021013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201012102131) 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, 125554068515 + ... + 125554069328.

It is an arithmetic number, because the mean of its divisors is an integer number (14313163857108).

Almost surely, 2102201012102101 is an apocalyptic number.

102201012102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201012102101 is a deficient number, since it is larger than the sum of its proper divisors (12304298754763).

102201012102101 is a wasteful number, since it uses less digits than its factorization.

102201012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251108137891.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201012102101 its reverse (101201210102201), we get a palindrome (203402222204302).

The spelling of 102201012102101 in words is "one hundred two trillion, two hundred one billion, twelve million, one hundred two thousand, one hundred one".

Divisors: 1 11 37 407 251108137843 2762189516273 9291001100191 102201012102101