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10221202101 = 3111672238317
BaseRepresentation
bin10011000010011101…
…10010101010110101
3222101022222212100210
421201032302222311
5131413111431401
64410123500033
7511201533015
oct114116625265
928338885323
1010221202101
114375669470
121b93087619
13c6b7890a6
146cd6a3c45
153ec5044d6
hex2613b2ab5

10221202101 has 32 divisors (see below), whose sum is σ = 15025102848. Its totient is φ = 6129224640.

The previous prime is 10221202099. The next prime is 10221202127. The reversal of 10221202101 is 10120212201.

10221202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221202101 - 21 = 10221202099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224795 + ... + 1233111.

It is an arithmetic number, because the mean of its divisors is an integer number (469534464).

Almost surely, 210221202101 is an apocalyptic number.

10221202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221202101 is a deficient number, since it is larger than the sum of its proper divisors (4803900747).

10221202101 is a wasteful number, since it uses less digits than its factorization.

10221202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221202101 its reverse (10120212201), we get a palindrome (20341414302).

The spelling of 10221202101 in words is "ten billion, two hundred twenty-one million, two hundred two thousand, one hundred one".

Divisors: 1 3 11 33 167 223 501 669 1837 2453 5511 7359 8317 24951 37241 91487 111723 274461 409651 1228953 1388939 1854691 4166817 5564073 15278329 20401601 45834987 61204803 309733397 929200191 3407067367 10221202101