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100222012221201 = 3313833440154197
BaseRepresentation
bin10110110010011011000001…
…011011111110011100010001
3111010212010112100110220121000
4112302123001123332130101
5101114014140112034301
6553053205023052213
730052541614655253
oct2662330133763421
9433763470426530
10100222012221201
1129a2aa0a130a22
12b2a7845141069
1343bcb839a5980
141aa6ab2535cd3
15b8c010488786
hex5b26c16fe711

100222012221201 has 32 divisors (see below), whose sum is σ = 161824853473920. Its totient is φ = 60932011119552.

The previous prime is 100222012221179. The next prime is 100222012221211. The reversal of 100222012221201 is 102122210222001.

It is a happy number.

100222012221201 is a `hidden beast` number, since 10 + 0 + 2 + 220 + 12 + 221 + 201 = 666.

It is not a de Polignac number, because 100222012221201 - 215 = 100222012188433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100222012221211) 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, 1720047966 + ... + 1720106231.

It is an arithmetic number, because the mean of its divisors is an integer number (5057026671060).

Almost surely, 2100222012221201 is an apocalyptic number.

It is an amenable number.

100222012221201 is a deficient number, since it is larger than the sum of its proper divisors (61602841252719).

100222012221201 is a wasteful number, since it uses less digits than its factorization.

100222012221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440154302 (or 3440154296 counting only the distinct ones).

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

Adding to 100222012221201 its reverse (102122210222001), we get a palindrome (202344222443202).

The spelling of 100222012221201 in words is "one hundred trillion, two hundred twenty-two billion, twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 13 27 39 83 117 249 351 747 1079 2241 3237 9711 29133 3440154197 10320462591 30961387773 44722004561 92884163319 134166013683 285532798351 402498041049 856598395053 1207494123147 2569795185159 3711926378563 7709385555477 11135779135689 33407337407067 100222012221201