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102121122202201 = 19128940211036991
BaseRepresentation
bin10111001110000011101101…
…001101101000001001011001
3111101120200110120221202202201
4113032003231031220021121
5101341123024240432301
61001105443524530201
730340002415316254
oct2716035515501131
9441520416852681
10102121122202201
112a5a2363211213
12b553911250961
1344c9c99219c3b
141b3098da8609b
15bc1611022201
hex5ce0ed368259

102121122202201 has 16 divisors (see below), whose sum is σ = 107606171059200. Its totient is φ = 96647136163200.

The previous prime is 102121122202199. The next prime is 102121122202237. The reversal of 102121122202201 is 102202221121201.

It is a cyclic number.

It is not a de Polignac number, because 102121122202201 - 21 = 102121122202199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121122202301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97959816 + ... + 98996806.

It is an arithmetic number, because the mean of its divisors is an integer number (6725385691200).

Almost surely, 2102121122202201 is an apocalyptic number.

It is an amenable number.

102121122202201 is a deficient number, since it is larger than the sum of its proper divisors (5485048856999).

102121122202201 is a wasteful number, since it uses less digits than its factorization.

102121122202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042320.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102121122202201 its reverse (102202221121201), we get a palindrome (204323343323402).

The spelling of 102121122202201 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, two hundred one".

Divisors: 1 19 1289 4021 24491 76399 1036991 5183069 19702829 98478311 1336681399 4169740811 25396946581 79225075409 5374795905379 102121122202201