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10122210101221 = 311949380344053
BaseRepresentation
bin1001001101001100001010…
…1111001100011111100101
31022211200012020002122020121
42103103002233030133211
52311320241241214341
633310025031401541
72063206542146431
oct223230257143745
938750166078217
1010122210101221
113252894797979
1211759038232b1
1358569c19cb9a
1426dcbbbc19c1
1512847de5d4d1
hex934c2bcc7e5

10122210101221 has 16 divisors (see below), whose sum is σ = 10457080358400. Its totient is φ = 9787864541760.

The previous prime is 10122210101209. The next prime is 10122210101231. The reversal of 10122210101221 is 12210101222101.

It is a cyclic number.

It is not a de Polignac number, because 10122210101221 - 213 = 10122210093029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122210101195 and 10122210101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122210101231) 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, 229751431 + ... + 229795483.

It is an arithmetic number, because the mean of its divisors is an integer number (653567522400).

Almost surely, 210122210101221 is an apocalyptic number.

It is an amenable number.

10122210101221 is a deficient number, since it is larger than the sum of its proper divisors (334870257179).

10122210101221 is a wasteful number, since it uses less digits than its factorization.

10122210101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49836.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122210101221 its reverse (12210101222101), we get a palindrome (22332311323322).

The spelling of 10122210101221 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 31 1949 3803 44053 60419 117893 1365643 7412047 85859297 167533559 229773457 2661638207 5193540329 326522906491 10122210101221