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101011022002221 = 3678333717966551
BaseRepresentation
bin10110111101111001110110…
…000101011011100000101101
3111020122120002210120200101020
4112331321312011123200231
5101214431033113032341
6554455453425004353
730163543201312452
oct2675716605334055
9436576083520336
10101011022002221
112a204596628511
12b3b4742a836b9
1344493b5a70996
141ad2d61015829
15ba27dd9be566
hex5bde7615b82d

101011022002221 has 32 divisors (see below), whose sum is σ = 138748925672448. Its totient is φ = 65341898899200.

The previous prime is 101011022002217. The next prime is 101011022002249. The reversal of 101011022002221 is 122200220110101.

It is not a de Polignac number, because 101011022002221 - 22 = 101011022002217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011022002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011022002211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361105 + ... + 14605446.

It is an arithmetic number, because the mean of its divisors is an integer number (4335903927264).

Almost surely, 2101011022002221 is an apocalyptic number.

It is an amenable number.

101011022002221 is a deficient number, since it is larger than the sum of its proper divisors (37737903670227).

101011022002221 is a wasteful number, since it uses less digits than its factorization.

101011022002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967041.

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

Adding to 101011022002221 its reverse (122200220110101), we get a palindrome (223211242112322).

The spelling of 101011022002221 in words is "one hundred one trillion, eleven billion, twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 3 67 83 201 249 337 1011 5561 16683 22579 27971 67737 83913 1874057 5622171 17966551 53899653 1203758917 1491223733 3611276751 4473671199 6054727687 18164183061 99911990111 299735970333 405666755029 502542398021 1217000265087 1507627194063 33670340667407 101011022002221