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102000201121 = 7137127756993
BaseRepresentation
bin101111011111110101…
…1111000110110100001
3100202021120101002100201
41132333223320312201
53132344022413441
6114505214145201
710240442255440
oct1367753706641
9322246332321
10102000201121
113a2924aa885
12179277b2201
1398070274c0
144d1896cd57
1529beb3bc31
hex17bfaf8da1

102000201121 has 32 divisors (see below), whose sum is σ = 127768693248. Its totient is φ = 79278151680.

The previous prime is 102000201101. The next prime is 102000201131. The reversal of 102000201121 is 121102000201.

It is not a de Polignac number, because 102000201121 - 225 = 101966646689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000201098 and 102000201107.

It is not an unprimeable number, because it can be changed into a prime (102000201101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761201 + ... + 1818193.

It is an arithmetic number, because the mean of its divisors is an integer number (3992771664).

Almost surely, 2102000201121 is an apocalyptic number.

It is an amenable number.

102000201121 is a deficient number, since it is larger than the sum of its proper divisors (25768492127).

102000201121 is a wasteful number, since it uses less digits than its factorization.

102000201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57361.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102000201121 its reverse (121102000201), we get a palindrome (223102201322).

It can be divided in two parts, 102000201 and 121, that multiplied together give a palindrome (12342024321).

The spelling of 102000201121 in words is "one hundred two billion, two hundred one thousand, one hundred twenty-one".

Divisors: 1 7 13 71 91 277 497 923 1939 3601 6461 19667 25207 56993 137669 255671 398951 740909 1789697 4046503 5186363 15787061 28325521 52604539 110509427 205231793 368231773 1120881331 1436622551 7846169317 14571457303 102000201121