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102022210111221 = 32371512028960287
BaseRepresentation
bin10111001100100111100101…
…100101111100011011110101
3111101020020011020101221010200
4113030213211211330123311
5101333012441242024341
61000552204543311113
730326601321365211
oct2714474545743365
9441206136357120
10102022210111221
112a564415992284
12b5387078ab499
1344c0864c1695a
141b29c892d7941
15bbdc72580db6
hex5cc9e597c6f5

102022210111221 has 24 divisors (see below), whose sum is σ = 152350570105344. Its totient is φ = 65738313266400.

The previous prime is 102022210111127. The next prime is 102022210111231. The reversal of 102022210111221 is 122111012220201.

102022210111221 is a `hidden beast` number, since 10 + 202 + 221 + 0 + 1 + 11 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102022210111221 is a prime.

It is a super-2 number, since 2×1020222101112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022210111194 and 102022210111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022210111231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014429861 + ... + 1014530426.

It is an arithmetic number, because the mean of its divisors is an integer number (6347940421056).

Almost surely, 2102022210111221 is an apocalyptic number.

It is an amenable number.

102022210111221 is a deficient number, since it is larger than the sum of its proper divisors (50328359994123).

102022210111221 is a wasteful number, since it uses less digits than its factorization.

102022210111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028960481 (or 2028960478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022210111221 its reverse (122111012220201), we get a palindrome (224133222331422).

The spelling of 102022210111221 in words is "one hundred two trillion, twenty-two billion, two hundred ten million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 151 333 453 1359 5587 16761 50283 2028960287 6086880861 18260642583 75071530619 225214591857 306373003337 675643775571 919119010011 2757357030033 11335801123469 34007403370407 102022210111221