Search a number
-
+
101200210201021 = 4161971798592713
BaseRepresentation
bin10111000000101010000010…
…100101001000100110111101
3111021022122102122112221212011
4113000222002211020212331
5101231031012302413041
6555122422412411221
730213321356420251
oct2700520245104675
9437278378487764
10101200210201021
112a27784a413418
12b425341776b11
1344611a614a149
141adc18b216261
15ba76b2b7be81
hex5c0a829489bd

101200210201021 has 64 divisors (see below), whose sum is σ = 107213100422400. Its totient is φ = 95428797235200.

The previous prime is 101200210201009. The next prime is 101200210201049. The reversal of 101200210201021 is 120102012002101.

It is a cyclic number.

It is not a de Polignac number, because 101200210201021 - 25 = 101200210200989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200210200992 and 101200210201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200210201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37301955961 + ... + 37301958673.

It is an arithmetic number, because the mean of its divisors is an integer number (1675204694100).

Almost surely, 2101200210201021 is an apocalyptic number.

It is an amenable number.

101200210201021 is a deficient number, since it is larger than the sum of its proper divisors (6012890221379).

101200210201021 is a wasteful number, since it uses less digits than its factorization.

101200210201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950.

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

Adding to 101200210201021 its reverse (120102012002101), we get a palindrome (221302222203122).

The spelling of 101200210201021 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred one thousand, twenty-one".

Divisors: 1 41 61 97 179 859 2501 2713 3977 5917 7339 10919 17363 35219 52399 83323 111233 153761 165493 242597 263161 447679 485627 711883 1059143 2148359 2330467 3416243 5082703 6304201 6785213 9379421 10789601 14914817 16052821 19910707 29623247 43424863 47105819 95549147 142158487 208390823 226055299 384556261 417153593 611507497 658165661 909803837 1214553127 1931338579 2873454959 5828497967 9268267259 13789373239 17103297313 25446369173 37301957317 40463898521 117811653319 565364302799 1043301136093 1659019839361 2468297809781 101200210201021