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10122200211201 = 313647401149297
BaseRepresentation
bin1001001101001100001000…
…1001011101111100000001
31022211200011112111011200120
42103103002021131330001
52311320231223224301
633310024035410453
72063206362115521
oct223230211357401
938750145434616
1010122200211201
11325288a152401
121175900453a29
1358569a1193c0
1426dcba769681
1512847d157e36
hex934c225df01

10122200211201 has 16 divisors (see below), whose sum is σ = 14556905725824. Its totient is φ = 6219418685184.

The previous prime is 10122200211191. The next prime is 10122200211217. The reversal of 10122200211201 is 10211200222101.

It is not a de Polignac number, because 10122200211201 - 235 = 10087840472833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122200211401) 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 15 ways as a sum of consecutive naturals, for example, 200549416 + ... + 200599881.

It is an arithmetic number, because the mean of its divisors is an integer number (909806607864).

Almost surely, 210122200211201 is an apocalyptic number.

It is an amenable number.

10122200211201 is a deficient number, since it is larger than the sum of its proper divisors (4434705514623).

10122200211201 is a wasteful number, since it uses less digits than its factorization.

10122200211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401149960.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122200211201 its reverse (10211200222101), we get a palindrome (20333400433302).

The spelling of 10122200211201 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 13 39 647 1941 8411 25233 401149297 1203447891 5214940861 15644822583 259543595159 778630785477 3374066737067 10122200211201