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102220222121001 = 32193734746559629
BaseRepresentation
bin10111001111100000000000…
…000001110100010000101001
3111101221011021000221020201200
4113033200000001310100221
5101344234003330333001
61001223153300034413
730350111252610315
oct2717400001642051
9441834230836650
10102220222121001
112a630397569a56
12b56ab69692a09
13450643040504a
141b356b1368b45
15bc3eb1216086
hex5cf800074429

102220222121001 has 48 divisors (see below), whose sum is σ = 160083182251200. Its totient is φ = 62634246447744.

The previous prime is 102220222120889. The next prime is 102220222121041. The reversal of 102220222121001 is 100121222022201.

It is a happy number.

102220222121001 is a `hidden beast` number, since 10 + 2 + 220 + 2 + 221 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 102220222121001 - 213 = 102220222112809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102220222121041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21084346 + ... + 25475283.

It is an arithmetic number, because the mean of its divisors is an integer number (3335066296900).

Almost surely, 2102220222121001 is an apocalyptic number.

It is an amenable number.

102220222121001 is a deficient number, since it is larger than the sum of its proper divisors (57862960130199).

102220222121001 is a wasteful number, since it uses less digits than its factorization.

102220222121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46560038 (or 46560035 counting only the distinct ones).

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

Adding to 102220222121001 its reverse (100121222022201), we get a palindrome (202341444143202).

The spelling of 102220222121001 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, one".

Divisors: 1 3 9 19 37 57 111 171 333 347 703 1041 2109 3123 6327 6593 12839 19779 38517 59337 115551 243941 731823 2195469 46559629 139678887 419036661 884632951 1722706273 2653898853 5168118819 7961696559 15504356457 16156191263 32731419187 48468573789 98194257561 145405721367 294582772683 306967633997 597779076731 920902901991 1793337230193 2762708705973 5380011690579 11357802457889 34073407373667 102220222121001