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102022012221021 = 3331121890098233
BaseRepresentation
bin10111001100100111011001…
…110011000011011001011101
3111101020012122110001001211000
4113030213121303003121131
5101333012040112033041
61000552133154020513
730326563366345644
oct2714473163033135
9441205573031730
10102022012221021
112a564324210462
12b538671577739
1344c0832c1aa69
141b29c6ad0435b
15bbdc5eee1bb6
hex5cc9d9cc365d

102022012221021 has 16 divisors (see below), whose sum is σ = 156019325739520. Its totient is φ = 65820653045280.

The previous prime is 102022012220969. The next prime is 102022012221037. The reversal of 102022012221021 is 120122210220201.

It is a happy number.

102022012221021 is a `hidden beast` number, since 10 + 202 + 201 + 22 + 210 + 21 = 666.

It is not a de Polignac number, because 102022012221021 - 27 = 102022012220893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022012220985 and 102022012221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022012221071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60945048280 + ... + 60945049953.

It is an arithmetic number, because the mean of its divisors is an integer number (9751207858720).

Almost surely, 2102022012221021 is an apocalyptic number.

It is an amenable number.

102022012221021 is a deficient number, since it is larger than the sum of its proper divisors (53997313518499).

102022012221021 is a wasteful number, since it uses less digits than its factorization.

102022012221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121890098273 (or 121890098267 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022012221021 its reverse (120122210220201), we get a palindrome (222144222441222).

The spelling of 102022012221021 in words is "one hundred two trillion, twenty-two billion, twelve million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 31 93 279 837 121890098233 365670294699 1097010884097 3291032652291 3778593045223 11335779135669 34007337407007 102022012221021