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10122201222201 = 333119362660261
BaseRepresentation
bin1001001101001100001000…
…1101010100110000111001
31022211200011121101112112000
42103103002031110300321
52311320232003102301
633310024113211213
72063206403526165
oct223230215246071
938750147345460
1010122201222201
11325288a782a42
121175900860b09
1358569a3b1623
1426dcba94dca5
1512847d2a7786
hex934c2354c39

10122201222201 has 32 divisors (see below), whose sum is σ = 15559796259840. Its totient is φ = 6496615756800.

The previous prime is 10122201222179. The next prime is 10122201222209. The reversal of 10122201222201 is 10222210222101.

It is a happy number.

10122201222201 is a `hidden beast` number, since 10 + 12 + 220 + 1 + 222 + 201 = 666.

It is not a de Polignac number, because 10122201222201 - 27 = 10122201222073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10122201222209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31168590 + ... + 31491671.

It is an arithmetic number, because the mean of its divisors is an integer number (486243633120).

Almost surely, 210122201222201 is an apocalyptic number.

It is an amenable number.

10122201222201 is a deficient number, since it is larger than the sum of its proper divisors (5437595037639).

10122201222201 is a wasteful number, since it uses less digits than its factorization.

10122201222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62660494 (or 62660488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122201222201 its reverse (10222210222101), we get a palindrome (20344411444302).

The spelling of 10122201222201 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 31 93 193 279 579 837 1737 5211 5983 17949 53847 161541 62660261 187980783 563942349 1691827047 1942468091 5827404273 12093430373 17482212819 36280291119 52446638457 108840873357 326522620071 374896341563 1124689024689 3374067074067 10122201222201