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101120001211221 = 3181501137163177
BaseRepresentation
bin10110111111011111010101…
…110000000111101101010101
3111021000222101202012002202020
4112333133111300013231111
5101223222230302224341
6555021515351403353
730204451616310036
oct2677372560075525
9437028352162666
10101120001211221
112a24682a5441a3
12b411897983559
134456762931235
141ad833c7d8a8d
15ba556b17a566
hex5bf7d5c07b55

101120001211221 has 16 divisors (see below), whose sum is σ = 135598625443008. Its totient is φ = 67027504233600.

The previous prime is 101120001211213. The next prime is 101120001211223. The reversal of 101120001211221 is 122112100021101.

It is a happy number.

It is not a de Polignac number, because 101120001211221 - 23 = 101120001211213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101120001211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120001211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15860616 + ... + 21302561.

It is an arithmetic number, because the mean of its divisors is an integer number (8474914090188).

Almost surely, 2101120001211221 is an apocalyptic number.

It is an amenable number.

101120001211221 is a deficient number, since it is larger than the sum of its proper divisors (34478624231787).

101120001211221 is a wasteful number, since it uses less digits than its factorization.

101120001211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37168372.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101120001211221 its reverse (122112100021101), we get a palindrome (223232101232322).

The spelling of 101120001211221 in words is "one hundred one trillion, one hundred twenty billion, one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 181 543 5011 15033 906991 2720973 37163177 111489531 6726535037 20179605111 186224679947 558674039841 33706667070407 101120001211221