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102101012221 = 1331325092409
BaseRepresentation
bin101111100010110110…
…0011100111011111101
3100202112121001211012011
41133011230130323331
53133100324342341
6114523215011221
710243105166365
oct1370554347375
9322477054164
10102101012221
113a3343a573a
1217955509b11
139821b93240
144d280d19a5
1529c8901b81
hex17c5b1cefd

102101012221 has 8 divisors (see below), whose sum is σ = 110306234360. Its totient is φ = 93945975552.

The previous prime is 102101012203. The next prime is 102101012239. The reversal of 102101012221 is 122210101201.

It is an interprime number because it is at equal distance from previous prime (102101012203) and next prime (102101012239).

It can be written as a sum of positive squares in 4 ways, for example, as 7397720100 + 94703292121 = 86010^2 + 307739^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102101012221 - 211 = 102101010173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101016221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12542136 + ... + 12550273.

It is an arithmetic number, because the mean of its divisors is an integer number (13788279295).

Almost surely, 2102101012221 is an apocalyptic number.

It is an amenable number.

102101012221 is a deficient number, since it is larger than the sum of its proper divisors (8205222139).

102101012221 is a wasteful number, since it uses less digits than its factorization.

102101012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092735.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101012221 its reverse (122210101201), we get a palindrome (224311113422).

The spelling of 102101012221 in words is "one hundred two billion, one hundred one million, twelve thousand, two hundred twenty-one".

Divisors: 1 13 313 4069 25092409 326201317 7853924017 102101012221